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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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a ttoraf()ABL (".-
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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+,k8?e"h oh
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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*o."o = opporil' r-ide
'fujo.. €^F {fd..,
11
B(.
9H
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HL r p6x15.;r-
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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? 6lve.
ve ih"c_cr[ l-ct 'rr, .&
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u
"b
WL
&
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= sc
Pt..
-+ Jor 60"
+ $++o
? {--
a:
+4u "t ele"of,"- of {9 6[a6,rt--ffi
p = eoe
.tre,!l''t
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"ht2c.r
"f to..*.r = 4. : AB.
^.esY.( e
^i- nlt aLovt Acnta'
d,2-"" 'fq?' fr (". "-r
,?", +-,"""nler 4 lt€c r
,4cBD.
hl-,e", e ,i *At.
- {'io.'eL
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6C
2 fo-" 1So= t-t
+o.
+ ha +oxJ
= *o.
H -- ao.o,
Lnqo .t6ar
. 3lillq =
+o
= +o[G)
+ot.Ri)
+o Lr
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5t"j'l.-o.
{_t-t-
4o'
-- +Dx O?A!
-. . 4,: Sr.>t"r-;
't"'n-,!xr o[ iour"-- qo- -Leiql-,r ofi frn.*6n =s-l.:+.n.
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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+c?ht- ,t
J-e-F r.r &l{ L!.r€ it ir LnoLen ol poP.fc.
urrt+r-"
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6'o"e''
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ft-oe-d
e = 6d.
WL
*.a-u"
tra'
* o.
?
y ar,.zt {o 6aLe o pof.F c. - 4-, . = ec .
Ats = Ac+Bc
? H= Ae-f i+ +c=G=+E,o.
referc^t AF-. <tLo'r. dcttso- P^ IEL ("( ""'Jkr l+ fi."-^r {o.'r a.6k.r *<a^6f c -*at
6fi6d = Bc
C&
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RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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Glts-b1 = 1"
tEJa- hG = 2h
(:+€)t, = rsQ.
.1..,
= tsrE x
2*J-3
>_:J^3
a*G
I a.rf"-.' t ff i^+ dz ,.,o..,! te."
I n.m"r.t 4.,"$ g.,.r.. "f
iotrt,ir olct,=) I = Es2l-g,
2:-{f,)-
= rEt>J.3_g
}l = tst2r3..3)
{"ei1nt 4 LsoLen poP" f -6"-
fr.ror.r,'a
: rs l>r.r -s)"n
'Le'"qu'r o[ .rqz *t"g.t-.61 t,,- 5-. = A+.
A-Vte "F el",..t-i-, ,F *, "h dq"o66 = 6a.--q.
+d" .h eLvoF,t, oi totro
$ fl{_j-=""=U
.Let +e,6tl- ofi -16-"- te 11 -,r.: uAB-
'
t
fi LL't ' vc? tlc^t .1tr? aLoue do la Pn
yq-}4t
d"* ", <,h-,. rGe^ i, d*- l-.'^.€t(
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^ . ,
ceb P, cot.%r, -ABc & i4 cl"Jed- U" ,/ fi t"f*li.
1,ts:.18. / ,,."'Lt.*"-
4Jfcrc€^h
I 649 =
Hm
RD Sharma Class 10 Solutions Applications of Trigonometry
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fa" q = Bo
u
I ta''6o" = 4an oo
-F= 48
BC
-fat 3e" - *
BC
rs (3rG=
Bc.
fr_t5
-oBC
tt
e
e- -- +'r/ec
t ;Gt
3. -- r-i -rE- + 8Ft = H+f
**t,oq 6t-q
9l Fve.'-
q
H
'Fl =S e u=C: I'(..n.
il -toltz". H = 9.rcn.
t]
f
ohe.vcrbt"o-, (A)
c,-:alkeJ 5o.', {*o.,
o( = 3oo -
{-1rr poP"f 6; +o
.48 = 5o.n.
e tc vrrF,%o **"o'r ,4e.ond gof.F e * F= t€'
+nAte of ntzvobloo of t.T .b -b,'t"" J=o.
$*rF
Le t-
3oF"t
.+z
-tk;
"h4^€k
No,,, leF Lrr v3vtle.rt 36-
6Pre^
cJccta P. (*'- "il dqa.
rt .{o..".rr +""^7t- 'tCs '"rfti-'
J.,"".'otl. BcE l'' fl- t z:c'--6'
L e t 4p Po l^'t "l +d"' ' 12
qlu
Hm = cD'
gL = /' '('t:, '
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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I * '---:!un .€& n-"^^Alo s ,1 A&, *d.
:Fn"o = o>eoltF ,rPd e
-++----
-4al icr ce
"
FrfJe
JRo
*ct ot = Cu
AL.
AstBc.
3 5ot)L
+ 5ottr: HJi *O
fi p.O -, qo+ H: .E
-lcrrF = C'D
Bc,
=r *.' ^ r--" ^ lt.-.-""_-...-
)'
+ {1-_ H.;
)C = H
-/.i_=- '/{3
- uc.
-----
.rt
! *re ,/
+ n= >_Q.[ = z9{:
llc iqt 'r o to-"' I I - e g[ ro
Q'
l1
le f .!Fe n,T* ,h ,t4,,.1o,.,
"b Lor.z.v
url^p," A"?Xe 4 e Lvah{., &lo.ao9 Un. ;r ..D:sc-- q I
.tlco occoxJF.l *o Y""Lle*'
Jeogtx rh ,TFe aLaJc{.r c',ftr, :a-gle of e le
"a
(p=+*l ir lto+ic).n. = Bb.
t.c.i
i
ro,
!
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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fTUJE
0
*"'a"*
J-',"a"dc
5
"t-
Yefett4t
.IFe-, tt
-4+c u
,I1|e, qAovc Aata f;
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f-.-l"t"l,u?H. zg--1$.
{--
p
Jtr,c
fon*. aG-
BL
? *o"uo" = t-t
+ x= u _d)
l3
r
.&ukh"trr 6 r:- H-to-(/'n
H -ro : !_
"la
O
.i3t-ro.r: = H
!3-DH E- 106
+ l-l : lo,l:
rl5r
H: loJS x lEtt _
@-u[cr9
I bJe tJ:a tD
5 !_3 t{]J
> a3'666
{
Rrrt,"".vrt.t. clc.,qn ry,atb"
I '"h"^"t48-'? d*.h, 'f-
L"t*
,1 a-.1^u
+lefqar o[ fo"xv
= 23.46.n_
I,e,t +*hF efi- *e'*" Le +r'n - -4G
".6e"t
a^€t.
"'tf. & e
f,cr.,6r = opporili] atde,
-,$a-1trc eal c 8de_.
+-fa^([c
.ttsao
fft.a = 4e.E;
7 fon 45. - rt
' f,+lD
+ 5ctro 1H
:) x,: H *ro
-6
RD Sharma Class 10 Solutions Applications of Trigonometry
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lL.
LeF
Jpt-
Lu Sa pa-vacl. sLt1; aF Afghert- pofnF *,
c t D L4 Pofb hrf,".l.) aye I Do.r) o. 1vrv.t-
tpl.'e te- *.o.,,
ehvahLr f"o..
.[Fio CD: tDo.o.
*r-' fl"yoc.d
:
of p"ta-c1"uf--
rtg = q-.
;:a%r u*t.e
#o jc.rb-
oLr c w<.t'.f,rr' ,1'o,fnb = r.D.
*furt a',Ar,- *'"o,-BL o.,c- o'[- .t5o
cr6te
ef
(attr
fl.od
+')ar€
f
D&Fa.,t<.
para cf'r-tF
Rc(1ra(f
ffi
ftc{..dd
porP"ts C = 4S
o,
f,.J
4Tle ob- el'a-vc-ho-'
{-o- f,,,,?,
r o = eo". tF]
Lel- * t? .t6e po,flh _1irrr vrrhtall
1- Joc.,,, ,6-&
pvo.ch.rtr-
l_er ur d....,-dFL:,Ta* *"^
d ''A-." a{ A^or-n r. L'A&h
-*ed ir +-L"(1. a,'l -A€D ,,",rl.rdeJ F^ pr
-er *'f*.U.t. roorlu J ef .
Mor r9^.-..- .9..21.6
fl1 {o-",r .6a
L,., f+r-,
e""+ 18,
I oori DF->z- <---{
r-t------------ '
/*a're = opporiF r?lp I
j --+e_l
/ +4"<rc"4c rflde_.|
r__ _____,-__l
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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L
LOrr"(
= ,48
c8
ta''4So= l-t
I OO+2(,
I Do+r, E- H- ..---O
lf*t,h eb- .tou.,c,
l"r ,+'4 g' t.
*a.,o -tr- 4e
De"
*an6o"
H=-
ta.
€*.
o&o
./Er_ = roo tx,
(.la-g o. = 1oc,
t = l9o-^ €*l
€-t Cr.
. = loo( _fri_r)
L
9 :c = toL€tt).,,,
_ v 5 .- /_, ^ - ".tu U.
.rAz+
D
+ )r = Foc!..la)-)
I t- = ,36.6.r_D. ri O
H = .I8xr3t.6
= r.ig? xt36.6 = 236.6"r).
_O
fro.,.7 grouJ
U
fi = 2J6.6 .D.
pavaco'ut {6'ttt
rt: 136.6"co
-nxto.''s- aefgc,,f o$-
3a'.acAuf
Pftha'ca LeF-ce., poF.t tDhr.e.
ffr*t
L jLLr F ot te...rolrtro P.r
h : Ar3 : tsb .n.
ti',o oliz c h (r) Jhc
6rouoJ.
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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*.nre of dca-erePo-,
f, obir.t n' farnxJ = p= r,so.
= z*Ate.
-+-6rz- o[ &g<,crfm ofi oL(ecr- n *
[+xllrre]
LX h&' -- at : bD "_ LABTB
faxl'a'e]
lrF A'gr=x gtg..,t
Ai Lpe ,e prur.t ,Il,t o to,,J J-t"
!% q|"'0.,". , XF.. ?r- & ar rl,6.,,a
vril:r. z-.g=ao' A'l':' reJtstt-----+{<_--.1
t.n -t ./ac'ts
"-Bu +-!a'-dt, 3$ one- + lf-
r?.ctu,-dal t^d. & o .e;
'L Ar, -
* fo.ad
O P"@ )
+
ttd
= 'lg -nG
tans = Ae
Arg
ta-1s"= r5o
ot(
Lr
t =- rso .-@
= l5o- gDl r x2^,,
' ")
= 63 + o")
*re = 6=..1 rD.
hg
Be'
: lSD
!+ ISO _ rSO
€
a+ 5!_l3 . rso
vi
'/ :L = lso _.
5913
= lso_ 86.6
ba[r:ee,, otlec hDlrFo,'r .
RD Sharma Class 10 Solutions Applications of Trigonometry
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RD Sharma Class 10 Solutions Applications of Trigonometry
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*n2V "h
Le t- a)e,
e-Lvat ro,:- of tog
-J*ct-. go,9,t- A., at =
advontpA S.ou2t-,
-ttseo 4g = tso.l.,
o[- ]o..rr.r 4.o.,,
3d.
.4 +{, s b.d t5D.o
CD
AD
h"F=
t an r,o"
H:
cD,
BD
_tl
,l{5 =2 J =
lEo+a,
: r-J J3. '-(l)
l5O + r+ ^ Lr.a" ->
,,/-i,
u /g1 - rso
t,rz )
aef6rr
fi
,/:
e
h.
{G-r r(zl
tso x rj3
= l5o.
: 45G = 45xt +22
r>9.1-o
of, -+orue- = lz? q.'o.
+"Aln- efi efcva.LJu-, o$ +"p of, ,lo,,.re" {wo.r r,ecr:ol
poi.t g, € = eo..
Lel tt-e.fr;r ef -l-ot _rz, ctr = t-l .D.
Xt u)e- wep-ere.l J1=<, oto,," d..1a
f" {"..- 'h d,A:"" -tq". fc {u,.-.
43A-". dr ,rlo..-r r.:ftr z>=1d. ##;H
5r$- ro. 'f€D,r
o^€leJ -l..Pa1,le , ooe otr P.dvlee o,fl<,
ft e JEe,.,
to-< =
t^r,;lo"
t5o+:{-
f"O
.-o
RD Sharma Class 10 Solutions Applications of Trigonometry
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Dr1to,rc- beFus"n..,
Le l- a',e 36t rb
b h t orce 6e t-.-.r"..,
"f
Lt'e Yeff"'tlenF
t'V*"" , ''[Fe'' fr
r.or" tl z-t' =Jo"-
g. *iyr"r il"a
- L . fF, F. cl
'..1eJoh -e__'
Jheo
fc.r < :
fo.-, :o"
>Df 1-
zo"1- 1 - +lC
-D
(, ." (_1, => 2of I
t€
Lr.,
Da- toJ-3 _
-E-
-la%* olgu
Dlrlo,,r" ol
0
of a0z,,a.l-.15
"b
A ,'4,
-fot-.rc"
ac creJ
JEZ
do'--d
+"p f toLoe' {-o- pef^y-6
d -- zo".
-f.p ,h toco". -J"o_
3ol_ Fe
F-ao"
1+8 = !b.r.
co = 't'-q
po8r g {-o.., (oof o}
ctLn"e, daa, f- uf.
t!tr* o! tlot -yt
$tt
4nA14
of e)+vaffse
J.
:GD
€p
&D
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'l"fa'7|- ,oX
"n-
4" &o
fa^o - r^
ED
*a^ad ^ -l-r
:--.
:c = |
-
/i
./],
. c1
=hG ]-tG-!) = '.o.,tz I
= ?9€ 'toxJ3 =
->o =) 4 l*'3r.o.
lo..r1l
*ot:.. 4 = i+S)ro,
toi,:r' -(-.o.' pP.'t O = po.r-16; - 36".,.
RD Sharma Class 10 Solutions Applications of Trigonometry
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let 4s
Jn e fg t-,t-
E. J5o bc,fld .%.1
o$ lAo hrrb,?ln
eLc.,.rffo",
"$ 1c3
hr"ftdi'-? 4:soo.
eLe-vatf6-'
4 +Df
t,'L?td.ot F= 60:
od cp Lz, .t92
{ lb-. :-h = *B
ofi to.,-:e" -f..- -irp
"b-
F_> r tt *--{
BD = bx =
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5i
r{ g ,lq-e.
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ic.
o
6
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l-et he,.tXtrts of lt>t'te* aLove b,n6,pn- L",A.,',
3f b)( vzg- <rc,,t d.r)e- aL-.at". J,ztsa- Fn
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{ f6*'" nr al.ouro. r'fr.- z-a -6'
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of +o,,,"' t*- t"t6-- "6_
A
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T
RD Sharma Class 10 Solutions Applications of Trigonometry
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0f i5:
? &o-=
+L=
rt
!:l = -+') 'n
loq-26t alova
bet tteen tor.,sc
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arJ t..ftdf-q = t>.9e ^n(]
+,ogt t
dt Fo.,ce
IB
,f
Le t- 48 fz .tbz tfou-,zv c-,d Bd te d{.?lr-6pOo JIEZ to*.,.
D&t-o..,c" oi Ff"F o[ ok-vafr%o
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" $1>= 1-o-
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4
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Jfiz obu" d.,io fu veyete.frel ,P.
tlJ
^l.or'ro
t'i*{r LA -- 1o"
J-*- +'-F or-
{b- ob dt-""
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rooc ludel
ta"s -
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*hht -+-&.€le
fl"6rt-$ft4a: eo".
{r"6 ga" teJ p = acr-
o,r6le &o,
01e
JhA.
RD Sharma Class 10 Solutions Applications of Trigonometry
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*ana = 4c
'qt
-Fo', Lo' =
)cru =
u=(
:Li l{
q
1J6.
9J3-sG
fonp = 1!1
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fa"' eo' = :c
I
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'li
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t_-1JL
5t194
16'.9'
= 6J3 = 6x t.+3 L
: l o.3q z .D,
-haf6ht of fouoe"
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5-1.1 a^
1b.33).rr,
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L4 LtJ o,r!u-n ed ;tha h J6e, *ree & L'-epn ab-
pofrl c-
*d" -...oa[a bd bookeo go..l- cB, t,.'+r-,
?"roud
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D fr bq.,ce bett,eeo $ooi o$ -L*e. 1o gof,.r .rhc"e lf
for.r ch e,r
E".ou.t
gt* = S- ,
O"rflto ofr *"ee = +" = *c+esr. -- Ac+Lg.
RD Sharma Class 10 Solutions Applications of Trigonometry
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IE, a-bove
(PX.'e eL
t {o---ntPoo
,{l'otrrr.
..e3'<re''t
''" ,fbL -J".- "b
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ABI
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!3
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V3 ..J3
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4g
cd
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E
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GE
LaF
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e l+vcthoon *f t"f
taweo
"h
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ot- l'!du.oT d'c.- p
a=af,
> I D"...
i;oy o[ dta.?rrd$F +-D- p
P= +4,
I e t- Ae %C.r
o '|lapfaf $- =BD =
(a, .v,..
Tbe ^L-tz ,P.,
{o--,,ah.o- & we,p-er.<oFzJ
'o" 1o-' of {,fo^" ^ tLtot'L:x'>'
bilA LA =7o".
G a -fghu o.gted 'l-ta"3.le'
ft o^e- + fre. 'Bchded'
b
Ft.drt"ll-
lt^ *)
B
asgg - -A
{i"o.c elh rida
* poLea,rre-
+cr. s = o?!or i]a-^1"r de
''adf"r ce -Frr2e-
RD Sharma Class 10 Solutions Applications of Trigonometry
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a.Ble &e
fn
^
bec.
opportli,rf4e
.'til'o ce-t JriJa
*en * = ,49
AP
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AP
ran 15" = tO r(}
AP
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&: l:{-3) - I O
-- 4.3r- cr.
.lt"'2xr "t tla,il*ilrld : :f.3-r.o.
d& i-."" tel-cuaeo P o-d qf oob of |our" : l+.6:.o,
Jeei?hr efi .rhe a&l : l. a .o . 3 cD
p &+oos el- q-1"' t $o." .[o-p porF = 3"2.q. = .CA .
ten3+r. oF ^hddot,
c':,.LteA 6( -[a1, port : f e., : EA
LaF d tu Jtre- aoq.lc lc-tbte^ded
 *?"
ot- ,lhodow +D fog of ff9t on; -Lo-p qorl:
Ji., ct$o.re dc.fa ft r?,rertoteJ ig -f€.*.'
o[ t'k-'" &! lhocr:o. ,.,ftt, z4 --1d.
J-.*.. {pT. O gr&pqareE&_grir," lt="o
t oJE
to x t""13 )-
If, -12
ta^ 11
= co_
Ec.
**n = L,
C l"-'-r 3 : .t) (---{ A
4te"<*-----."l
EA -cn
a l"L
+ e-3,)
-:9:I
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RD Sharma Class 10 Solutions Applications of Trigonometry
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-?" a geq.
*o,,o1 = *g
EA.
lan45o: AB
*,ePgt"t
4'c
,Ag = +,e.o.
of {"-.'p po.t : AB = 4.s.o.
f^ abec. .r aBe4.
LDEL '- Le'eA
LI,LI = LBAE
A.a r P-f la"?h,r
C
Aoec -
TA
EA -C-A
= <. Lco..",,oo t1^qL,J.
= ?d.
od
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Bg+ ,
DL
B&
=!QB4
ge
Ec-cc*
trA- - g" 't
{"8 - 3. r- - 1-4
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t.L = t.t"
4'8 B&
BA = t"6x+.9
t.L.
: +sm
,hcJnhr e[
!r"-ita" -F-,uao
,lePpr ot .[o-g 3orl : f.& co.
Jrefght efr ffi bt PQ-.= r.s-" = AA1 =Ber
J}.-L bui Ld I .a
(
eLl'wahm -ra-od
CD " 30 'ro .
4i"rt poi.ts B Le.4trlA.,-'LL sL
(U
RD Sharma Class 10 Solutions Applications of Trigonometry
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let- *,o
4t
-Ar6t a
DU;A.LL
"b
mov€J fo p' a_"d e.dz, p
eL,zo{,"a- f-o" Bl . p 6d
EeYruo.n ott""rr.,t'.o.,
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a t,F,,.^t"l ,% rU 1"-.
J_A
l]
(
. >g.g **?
,15
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v3
= 9.s,E..,.
:c= 2€.sG .- 9.9J3
_ rqJ!.
- lq x r.+32 =_ ta 6..
Ar a-"d e.d?,, .porftfon cl,o^6e| +t
},=;€f-+t:b
'fiai!flhF ot t.rrtdfr? aLovc_ r-4c _c fqc_r
Ce = cb -€D
= co - (ee';
= 3o - t.5 = 28.5.o .
Nostr'
tof
?n
g, &-.
G rLdE
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G=
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ae.
> 8'5
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or 'ii^owo
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4 e.
)8"9
-*t
= >€.s,Q
oa:orfl;- af,rt-
*{i..ce-t ciae
.oalKe.l *o"r:r,,r.L tu.ifd p.fl
= leJQ
"".
RD Sharma Class 10 Solutions Applications of Trigonometry
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zg.
[.F -h*tlt o fot-.:er +e= ''l-i "q
--rvle
*ocor r
-4-qle t.( "rff * fT of Ahar{ot,,: -Fo tog
c< -- 6 90.
Ahadcl-.: be I
1' r'r. = BDJ-a^3th ol.
tl
&.A+{. D

r-L'odo- 11 (4: -t4o) .' [Fv '"
ai1le
"-t
ekv.t'ooo u F= ad'
.Ih, aLa,e- d..te ,or v e q.' .re. t
"
J p"
(t-". d1 abqo.
+-".-flt" &)e
"[ ,k-,tr,^a
re,.ctcrdeJ *4" (J e !t|u?a
Cl.*+o<gD5-z<-**J[
Lar
Lrle.
-le'e
Id-d ^ Ag
ts
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-x-
"r. : xJi _O
J--- CDr n
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fa.p=
*an.:c" :
4q
EL'
.h
Jrf +o
rci+o: +fi _,(" ')
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loroa- = eoJi .r.,.
l--.
It*^e - ryal;C-_*" I
I +uio.r^F<t:., I
-heiX h F of
RD Sharma Class 10 Solutions Applications of Trigonometry
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2"4.
ffv'"
-h(,'Bh t. e[ bLLftd-.T'? . :o.o,= 48.
.lel J"e,l't e$ n,otae, atr*ut t.-1J,%q =
;e,6i''r ", tct,:.' t b*gtd% = Qttro;.o, [{"o..,
*"81" rt rL,,al f'", oh **
"h
*a-oc, x= tsa.
-*o4ie ab elewotPsn
"r
+" of -totoe.
p = s,f .
lef cl&la.a. Lefr,i,ez.' focr,r, .Q d"r.'-^t%.
1of-l =
aloavz J.,b- ,i reg' cre-t-eJ P^
at l.hot"J,r.
D^e
"t iI}. Rcl*.r..r *q[.
-tLt ^d, -1n""^01. ,i p
!tF{,
rt-
'?.
,,FL't
^,
{o.." r,h {er"
'N.- = p"
;1.roc-Jl = 46 .
v'
5t '.n
(+'",
e
(
'o^rl
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,1D
-, ''t1^ 4qr __
I
I c^P = CA
D4.
=l -ka- 6o"
= 4,r rrr
-"'
. 4.,tLA = >..fa
=i .}'- zot€-r)
> ro tJE -i).r)
= )o I r.-T3 !_?)
= >Dx D.t B! .
= lf 6-+t .
'r
Zp-
:L : 2o., .
4e,'6i.r ofi -forr'r"t L
= o Ppodlt aPdc
RD Sharma Class 10 Solutions Applications of Trigonometry
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I
I
I
2.5.
l"r +,cQht of r^utu,stariacr f.tLl.h ,j.,_.= AB .
+le,?Ar.b ,b fdu k trd,T, = I .D. = cD
-togre ef d1.--s'L
"h -ttf u6 +-t, rr,ird. < = :o"
A-Vte ofi depv"rr?r. of tob- o, f"1r f".iLa,rn p = tf.
DPri-o^ce- teta:Ea- +*'o &ttLa,''tl '=
(>t'
-4 = g9
-ztB = 41 1-16 h'r x6=co t-e-r Ax --:-
[','nxcr ri
"- ra-4"1. fn
'te ='dl "n -t- B.n
46: (at s)-o
a.
Ix
Itr1.r, crLaue, ,!4r".,-ffl^ &
8o .{tr do,- ,b ffg*""
t?"rtnbJ
ar ,<hot r.
B F= *"
-r
.1F..,
$ L Ax&
ta":d = Ax
t-
71-
3 + q e,)
ta. ra" ^ A8=
f3)
tL+ I
>t, .
(-^
BDn l= *r=e
I,
+ cL-tg =:{- =O
) o, # * J::,1 = 4 tJ<ti)'-<- !" ti
- +[J3+r) %- +(a-,E)-.,. A€:ate = +(A+g-
(].cr [tiho-%J u^]ftd.,"^a , 4 {Jc , 3) -,
bet:,,e'. L<'?w$ff 4(:. r1r.,.
Or"O
Ir efoN"t
D rJ ftrc e
c^,
:L= aJZ --ri
,fAhF &.,"(}tl4 o!- r?-'ct..Jed o"4l- 6 o
,h
RD Sharma Class 10 Solutions Applications of Trigonometry
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*e r +e,"61-,r
6et"3Ar
+l.7le
-4-? tc
.tcro x - !6,
bL
ta"451= +,
DL.
Dc = +"8.. r
Dc : '-o ^.-6
{*o-' Q *@ d- "1,+r.s
ob StQ-".
-,"A}.,h
^81"
f-6 [,'lJ 1.1 aj[e & B
ol_l3l!_ rG.
€fcree-F rfl4e-
e ["...t-io, eh +og "h
eLc.rat r"c- oF tcJr! rdr
oF ordcrlol l-,e 'J..-llt
AFztFr.re = l- b.r.crI
€L
efr
At-ab?- d = eb".
F = ,td"_
th.W
JT-
"ioh
s?.,
aky.
.,1
io'.-
l.
J6,.
datn
l' r-.
+*"4?1. crr.
s- ap-cr z-,|-eJ
aJ z-Lrourg.
Lants
= AL
Dc.
fcr.- ad
DL=
=5il/
-r, + tjL
a -r'h.)
G
*,.D = .h l',.g
^Lr:) =16
{' t't x 'l:-r r
€r .l-.*'
of 3e dtrt-a L =
= o.8[-t]+r).
D,8 [.l3 ir ).-n.
.}e r"Xr,.r
RD Sharma Class 10 Solutions Applications of Trigonometry
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)-1 .
let J..c,khF
l^li.J ii. ol-
t)
*-atu o[
UU
l-.,rtz "ltCU
tT-
to
l.
J6Z
o.bov"
ofi 1;otozv : l-'.o .: fr@
r'lve
' lrz 'rr-o = gg .
z.b"ation !'o- tc-k "f ri"." <.
elr-"ahl," -{-,- Zo.r> &LoaL{ JFr-
ti 'Y''1ov€ r F
-- ao". [{,o"^ o'1.
dcrt a rt reprrrr.,t'z.l
d* "| {.3--' c.r a|.,ot,.,.
#qt* o,rgt.. t',"ar.t . i^n t-',9."t*del tc ,$ o' .[ko
e o" [4-* c]
t.6"L
5. A *!3c'
*ctn a* : ,48
tsc
.la. 6oo = 4,r
f-, a *oe
fa-p = ae
DE
ta-.3,.,"- -1"
:Lt)!
).+ 2ll: -l-.li
-rit:,
>L
6= x€ _O
f" G :+ Er2o = x€xf,:
? r+2D:3a
:? lx: 2p + x=lD^r,
.-1.i
= xG: t11;r{1i = ro6.o.
Ae,ogr.r €l -h"a rJ.' : to.e.r-,
ti.ltt
")
r-fvay x, = to.o.
RD Sharma Class 10 Solutions Applications of Trigonometry
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.
2-8
fl
tove r
r le fehl "h l>ur-tlJ 'P.7- = r ''n = *6
+ferftt f et- c-able totoc' : tH''o
- aD
,-t6a.
lrr
+-<le o$ el' q,lnoo^ ,b a"p u[ -lou.,'., -{- o-- -t op
ci tril.l'h d=6a"
-A"glc "i dep.<rrf--r of- tdro. r,
iof + builal"n V= +4'
t,cr-ro- l.o"t
C
o,f,r.,a drrta & .'- eg. e-re''feaL
{*.- of {i€"" ^ 1l-"''
CX -- ' :t'..
cD: Dx +xc
-LN A ADX
tan qs" = of?. ride Lxa)
-Ac{j. rtde tex)
!' z axc
1<ro 6o" _= -L c_
AX
€-a +
I 1= I J:.
= 'fl(i *,).n_
-Foc.:ro -- =+f,lit r).o.
:7 AX = I "o.
"^
tnl LD --
:
x'+
q-G {- +
+, e,'gt"t o'i c,r"t,k-
RD Sharma Class 10 Solutions Applications of Trigonometry
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Z1' Vfwcn
+k,gbt oh I'br,i -Aot.ra = +8.',.
-Agte d .teg'.rsio" o|- rl.'g I x
-Agla c:h d.,fr?rr;o.
+
ahf€ z P
IE obo,,e Jala & rg-oe.;73
f. j *.". "il {,ft -".e a.r &l-,a,o .
LLI D, f a,.c. Le F,,.x e^ ot ,?. t"
':J .o = 6.5.
= ,48
"for"r
-*-U1n f$ o.e
'b.r
Iu.1eJ ,r11. ,'c o JF*
^
J
-+. F: 4s
c-e.
+c.- +5" - +g
EL
Bc -- .+5 .
-O
/a C) /-
C' '" (rj xt +5 = +5.43
{ = isLJ:_)
- lr r( f-oicc te F14a.. th."-a
I
)C .')
- +5t.4..)
38.
+'
Lqr. r
_a^
oi
fcw, go" -
rcB.
+5
x-r8c.
FE;.=-.lli.'ta-rar| -+df tt+ rJaz,l
RD Sharma Class 10 Solutions Applications of Trigonometry
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30.
+^3ta e.bt 6'f,;en
"b 1rp
-Lot oar : 3o'= d
"
[r ,, o l-,."o. o
! +r;g
6ufttf.? = a""=p.
+
{o"t
-'t"gl" rh
{oel of
Ttr! abova f'^
1".,-.'otr",r",
d,"fture o,r lhoc.r.r,
-4" aAe,D'
tc".r
lts =
-Fo..6o'
=
Fs> -
, . _p".
?+g
AD,
5!-
8D
5a
1.<
{n
3
"i
.'t
-tle&bf of to r,-re
" = 5D ro.=.48
-tte ."or-,t ol, t'-, i t'l '"-9 = t -ry0
= cD.
.7- "
,bFt J, ,'..-o /, il, ( p o[ JLt
,or I tL,- li^"e -- c,r par +- l:.f"]
| ;",."._k"&
I
1"€,iH- .'h toi l.l,lU =
-ra CgD
+G.c(: cD
BD
Tar :d = 4
5o
G
J-= 6o r
rlz rA
=59
3
of 't.,,'- 4-o-.
tc-'Ed r!"
, 6, , r
bLrL rd r 44 +y c)6
d"_.^ "h
3.t.,JeJ ajL
RD Sharma Class 10 Solutions Applications of Trigonometry
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-He ig hr
4.2,e
-Ajle
6iwz', bo^ks c,'t.- Do qgpo,r?E ef.1e5,
Dr'r l-.a" c<- lxF.ure-, t.'.'ke 6,s-= qe*
,fh. o.bov e, i.{o-..,oht, 11 .,r e g"re r a-f6.1
S +"g*". &i
+
.t
oF .I6c, L;idqe, : 5('-1. f lte)l.
Ae-t>.n e *toa g$ L^- O ,a i. .- c( = zo". le,
d eq"r err.Ioo o| baola- 2, r'- e p = 4a: le)
B.4.
.ttL {r'--
^
r'oghr o"^9l.
oh -[-hs i'rcludaJ
i[Fa o
ll"ot -,o.
_{-,t.
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" Lr kr.r^
|
#.o = opf ooil;.,"a.
- {
I +uincr"l r?& I________:=-_ I
h'.^t r = 3DtG r() r{)
RD Sharma Class 10 Solutions Applications of Trigonometry
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Le l- $c^-,o pot-
G a AYe
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BX
to- 6d - l'
-
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Ag:-.D
CD h€ ak
U
aciu ret +€ ,bh f ' + '
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kf X !a PP.f Letcr.<,t -lbc -e f'. o,,. 4 -2
- A-,1{a .,, e [r vahfll.' oi *+6 Le d. = La"
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ato vaffor o[ co k F =, -"
pi irr*. tt pflor {--". Tolz'ao' ='BX''., =x;
pir fo-"re "6 3"t 4'o''-' l.,la 4-p =1Dx '^' : i$p-r
'o
llv oj:>o,te Aclo & ""P"'*-t"'r ^
 I
e do'- oi d,!.,''e "'' ^*"-' *-i  ,/ l, -
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fon B = C P
' lo
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go-f,
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'% Ci =2 Bo -x- - x.r: [-G) :> 8o->c = 3x.
+ t*- 8o + x: 2-D. $- :oG
.l.,e ,!r"t "fi g"l ur = 2 o I: 'n '
l> rl tr"ce ob p. I- r fo"-- Folr- :L : > o '"'r
Dior-fcr,., c. o$ Pgt f"o'. gole -:- = ao m'
g 1- X (€o-2, D
+8o-o+-.J
RD Sharma Class 10 Solutions Applications of Trigonometry
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i
l--*-*----
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4. ,"1r.r of t" , e AC -_
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oI gJ.
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c., te
L
L
: Lt,".r1.9.
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,q, obcva I Xo_*-,ot,'* ,i q
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Od Al-,or.,o.
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Lo
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8's,
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*,
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= go ,.,.
r/3
= Q-@-.
3
:€o
G
^tLl+c, "b
oll-,",;,olz,.
o3]'or i 17- I iJe't
of ,"-elu.leJ a€t & 0
RD Sharma Class 10 Solutions Applications of Trigonometry
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. 4l rw€a
0
rle,'4lt rl jtaa,tl-L[ = 1.n= 131 .
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fi" oto,^e datsa i lrep^ner e.,bed fl -l*.^
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t a',51" **r"."n3r.
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{{Jr_r ._ I _> q.
.i , ra.,
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z
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RD Sharma Class 10 Solutions Applications of Trigonometry
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Let
-Le 1g+r, "t
llado,.r t" 'a'-
be d. - i5"
le .,.r1r, dr l'dot: t-'?t t I c
JV
o r--d
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|-t +,eftt,t d -1o.-" Le
k
taa,I
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= gD'
(r x -t a ).o u'lo.
t'1"'-.,
= -18.
-.F"*..,fuJ ,P.-f,h-e ct tor,^e
tf d."g.."e
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or Al.pcoo.
i^ "'"S^t
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-fo ApB.
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ld-to^ 3(] = -Vj
2'7! a-
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=4
a' 4)
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+ J- C€-{) = 2rt.
'J3*t r?-1 I
: 211J3  '.-
't*
: >c I J:'ti;
.1.elght of -lot"tv - >cL.Iar,)m.
,( . | ...+e.l
*=f5"
RD Sharma Class 10 Solutions Applications of Trigonometry
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3b.
I.e t- AS V +4AbF o[ t;oe L
po,'nt c cr"d tog -tou cl-,ar $.ro*nal
-4.,312 -,a)a l>x %e o==o..
Pf1tra.ra +r-- {oots o$ F'.o. *.e--
Iouch.r.
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.Ap
.-ifu o bot,e ' ^(a-no F,"n ' rl
J,%u'e dl al"oc"n.
O
,he&hl- ol I'ee = r4G: Ac+rB
{v
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t-
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Pr s irftn
LL
aF
L-(
^ll1
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da'
tos:o = 4€l
Brc
Ac : -!-!l'' .'),
G
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e
= .!-L r- r',
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G
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opr:<rri F alde
'Aclt"ctc
ant sr"de
+,e ftl r tb -1"2" = l oG rn.
i
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RD Sharma Class 10 Solutions Applications of Trigonometry
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Lc.{ tr1
-A€tn
si.6 = te
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*re t'q h I
0
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Sir to"ce
'tfu &bara
{,"0** 0!
f- lghr
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'f fqr t Sa Fr?- of c -r1. r.rtJq
= Zttr,,lad
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=
r.6'm
=
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lleftbt ofr Lcrtf co1 {'o.n 6ranod
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i. cf ul e a oo3le ir s
3 {"..^ "r-
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_ Zt5
4 F,attooo *,"-^
0F 'trft = Bo-o = "rB
o[ elcvah'm {,o.., r4o.] J_, cr :
o[ at-tvnhntrr .J-.r..,
Man:, B :
Lttt^:e,e- *.co mel - M,Mr.
: AMr t 8F42, ,
l";[o.-..a t-,oco f, wepve re.rteJ
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oogta t-.ocr,rglc sba o|, Ol.e
o.'.'21e ,i o .[{eo
1!g = lo4.5t:.n
2J
flroctoJ
: lo"i.5.&
"r_
3so" lvr1
6e lv,J
3q
*&o = "tf*f trtoE
.roo* it-, *",d. 1
{a.{fil
RD Sharma Class 10 Solutions Applications of Trigonometry
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foo or =
*Ln., 3c" =
M1B =
ta^p .*
fc,6o":
8I,4,_ :
4u
BH-
g!
BM-
go
.J3
8o.fe r go _ Aox a_
{3 fg
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Ie.,g+t, t:b ,cl-ad or-. ba '-L'
Xivr" trr.al- -L - t-.
4s_
MB
So
MrB
8o-B
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D,lFo.ce bnh,-lee", noeo
+*A" "i e0e vcrh"-'
lfu o-Lo"" dort a &
ob {,"3-* zlJ d hoc*o,
taoe = 48
BL
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e.
r,Av
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:| *ct.,€r : :L
{.
_/ -rnnF __ _Q t" +rr. f]
:* O= +a# l) s4go.
ch {rL..r altrAtrde & Jeo,-4.oVIt
RD Sharma Class 10 Solutions Applications of Trigonometry
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An.I i -r
:Ann le
{l
-As
ob
ob
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clr va hoq, {,'-- 1Jr^- F I F,q ( *6 t,.r,.. r]
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q = bo".
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D ir Fct.'tce te h-.,e<o F,?alt-oria* FeL = Zok-.r.
'I[, o,Lo,te ron
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ff tj ".-""' "b -{ i6."c 01 r hog.,.-;
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(,c -r I
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ft_ a,a
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.<l-,o utd dz^d i l-{
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*n-.-1s"
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AB
AE
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=,p(3-Jg
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= lO^ O.-r3,- :. W, +"32,L,.= ro (.t-r){s
€
Slah'{:rr a
+n -kavet
f e o.- zl.-d {r; , ,.', !,a *c
+t.
RD Sharma Class 10 Solutions Applications of Trigonometry
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fhr'ght + rhip f"-"., rtzot?., .!-evet : lpro = -Ag^
-tlr'te 4 ele vcrhoeq
"[ *"f "b .linh o(
= tg:-?+"A1" !b dtp'.rct"r:^
5 6.16-- of (t.f-6$, A =_ 3d,
l'ef6r't "l ct3$f 'co = 'r'm.
J.'iLa"ce,
"t- rl",'1' -F.o-^ +*F .f t-q:e'. c-t.1F.
ne,ir"r .l ,(,'-$i
"[.^:l? ,_>..---itrieo -1"e..",.r- -b cr,'ix- = p1+ra _l >:o-_- 00-rarrn I c )4'o-l
:
aloou, do+" fc ,r7,era-t.A l_----' ,
'
': d.* "l d.ii',,. ot tlow^. D---------:i3
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e . .rr-o.
f*=;- rFtslE;-Ad.'aeu
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-Lta^ +t" - Cr
AA
l: a
AX
Ax ' ' 41'
".t
*n. 35. = xp
Ax.
-L = ro
v3 Ax
Ax - r o,,lE
L. - rtJ?.o.
o[ ctr'1[ - lor-ro-e = otJ1tD.D.
f-rF..rr^ _+ f-1- e rtP65 = rce.o.
Jv,%'.t
a)
d fi t a,"ce
t)-
RD Sharma Class 10 Solutions Applications of Trigonometry
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+3'1
-i---
142
ir
i+
l
l+I
lorI
l**
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+le it3hF
+''llht,r
Jq!
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tre.,
"b
rhfp aLove u:,iiu tevcL = 8.r' = '48.
of etev-h""h
"F ++ * ctffit+rtr1 a.26r" .
of -lzp-tr.oter o6 kf,to",>
c'f l"ft{ =- cD
tr h'"eto {t"rop & }'itl = AK.
rt 4?Lt a tove- r;'og
= C_x:'Ar-n
ob hirr = krrg) ..,.
l,ftt g= 3Y.
*a. p = xp
A,r(.
tCtn3o : g
4"
Ax = eJ:
C
X
tt6ov- de*a F,L ,reyerc,:ie)
4o-- o$ dfqc,.... ar tlrltu",^
ftrr+;u6u ."f c.p,
"$
r'oc tutdad a"6lc- 8-r o
tc".. x = 4^
-fcr,-r oo'
AX
-arr.
AX.
A
{-s
-Q=
",3
8Q 9 .r= 2.1 -o.
A( = 8G.n
+,ef6r,t ch otf1tr'9@^r"9 -
-Dl ttt"ce l.ra Fr.rt c^, 'h?tr e <hP6 = 8.f:'o
RD Sharma Class 10 Solutions Applications of Trigonometry
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:4gte of &p'"srio-
"fi tf of te ".pte z,
J-e fo hr ol
tv lc-.,ela r [$e) = co
-.I-
ot t"n-"-
"b
z CcD =
r"r.,,^i
$o =
rr, .a.
Y eF-' er e.l-zd
a! rl-'q-.r). c
o.ra ol- l, ,
l,] --
d'Fe o
D
* = 3oo.
F= ed-+.de o[- d aPvesr rqc"r
-hefnrr crh t..^dz
l^lfd +'. sh #ve., E
'ffu otbore- datFcr &
,i {o'--" of {,96*'"
3" -,"grt -*1. ft
L
t ata r( :
'lc,r 3o
LA
AI
C,X "
"= tZCx.
= Ax.[i.
Al("tl = ->
cD=
l,J icllt,
4.,%trt-
E(e
XB:
of-
ot
48- Ax
t..-pL
i loa
=:-|-o
:6-r-')
3
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3
AX
50
{)
loo
-1
te-ytz z,
fict u 6 a3 ag"le ,1 s,
f&., s = t:P po{flL- t?&.
"4djac e"ts < Pde
*ctr g : 4g
BD
-tar 6q," : g6
Ct
cx:5c)----E-
v<
F=ao'
4^t.e gD
= dx, (]D > gd,
l
4.1 .
RD Sharma Class 10 Solutions Applications of Trigonometry
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+4.
I,ef -Ae'5rgj2..,3 +raqctt.J 4'o ",-. A -!a
A.r3le oi etrvaF,$q ob ?oP-l A d. =
-Aoqla "b r Lvo troczo o| ge,? f e
J"ei3l.r o[ ae"opla..re. $.,- 6,.,"-J =_
D&|o,nce {-"6-wetlcd #- tg recr:48-pa.
6cl?0-.t;;e!.
Ai. -_ ge
B.?
+29
t q .4 ec(.
'13 :
t+Lt
._0n,
"t
&"4ln
velocl! (o- r -rpecJ = -lSrt-n-ca -o v. rt-;
1t"^.,.
&bov< c{a $a r! vegvalr-1t'e6( 3 lo'.-.
<,hr-. ar {Lorr',.
.,.h;t I .r'2,-^ qlr c>e .l yl a
-.1 J l)
(t O "![^,
*.'-ts = og?.?tr 4&9
-{a ce ^t-riaa
*o-- < = AR
XF
.la-
4e" =
XP=
3Q. =
Ayeed -
Sooo
xe
3DOO.,-r)
x q - xr
FA
3". i.,.tel
+o-p = 3q
xq
ta^ 3d = 36rp9
xq.
xq = 3ooDG
5OoDL/31) rir
Sooo LJ3 -l)
- l5 -
zcox o.-1 .).
rqa.
1 ""lL<.
2oo CO3r)
/,yec) 'b -*e'o;fo... = t+a.+ -.A.._
+e
RD Sharma Class 10 Solutions Applications of Trigonometry
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4t.
I'e r
*^gla
4,13te
-4,'oea^c l.avatte) -{' Dfi 4 +o g
,t
et+valrbpo. ol pogt A =
u"
at-a va LtL- oh PoP^t R
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4
g
t,.h
"i
-6D
FQ.
A$*
"h
itAc n
=1- 6,".,
rle
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xQ
la" sd= t
xq
xQ=€L-n
= JE-r= z
u3 ,f3
-t
"l
lo r
6ox6r>
zo{-z
= 4B v.,-.
-- Z'fz x bax y
Y
L^" lt .
4"&t"r €b ae'o3a.re {*o"o ?x-Du'f, = t L'n
.D&Fo*" -t:-atzatlcd P" to LL( =
.ape e.t -- .} ter l.a oce -+-.ave tt e.l
/-l,Le .
JFJ alxn
"
dat-c' t% r76ra,-,f221
{ Pq",'. ou r hcu.-r.r '
5" -,!1xt +.le, ,"tr o'e
'-[Ec rsocluded o-rqlc '1
o.,
o- oFpcfF riq4s
-Aajac e"h siJc-
faov = Ap
,PX
-fa,-r 6c)- = A
P;
Px=
PQ -- xe -ex
f-peLd = ,Pq
-lP.oe
fee.{
-&*oylon" = zrro6 L" Fl'.
RD Sharma Class 10 Solutions Applications of Trigonometry
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'*B = 4,ePg+ o$- to.,:.'" -- so"o.
c)^e-
+ F.,cl..Ja4
*a" < = A^
Lx.
ta^ 4" = AX
CX
Ax = 6-1.
.LLA^F=
*o- 6o'
gD -^LA &
cD = g(.
+e
BD
=5o
BD
5o
.4
Ax = ';n
=
-r). : gD.
!1
cD: 'q8- Ax ,- Eo- 5p
a
= 59te re)
.?-
5!C&:p
JG
+'e..!1t"r
bi ra,t.
"
DF bt-uld.q.,? tpol"l =
$(:
_.i11".'r
tel'r.,'e-"-, pota !. *oL,:r. : fq ,-.. ^
cr,: t"zrlrr an V-Va.",fuLpae)
-A"3le o!- .leg-<rtro^
'/odt( $
Jep.zrrt*e.,
tJ' r,.brtze dato- &
{ fr*'. al sLa'oo
il-, ,*!;r +-Po^6t"
o.rX re P-c o .Feo
d *"f .f Lna,."6 N.=11".
'b tptl.'.-
"b t'-?u-t'-U p = ed.
.oF..r..,t.d ,"..., 6o 4 p----, oh
l+"^" -- *"*tt- rltT
I 8."',-lr-l
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t+
'D lr hr',ce &fc.ez. *< cet = Oo.n. Ceol.
+"Ehf o[ ^LLE)a]
tye,c, = 80 -.-',. tcDl
1"; {e.'ghr o$- F&rr +-e-" ='l-'"- LaB]
n.gt. o[ JeSr e-lr fo-,
f."
r-c.,"} t*."- top
ioy a = ft*'
=$fL a,,rsve r,o^
{o -.-abfoo & t"p"e'e -teA B
Ctl {houoo.
t =,!c.r +-,}.,Ut. 16 o^. $ Jk
r.Xc(uded a,t 14 $e Grv
Ln^O : cPPol' Lc lt.le,
"A{io c-e-Fr ide-'
.'tort C* I Ag, Cx _ BD = 6D-n.
x.B = cD = AB_aX,
to^ ". = _Ax
C^
I
-ra^
4s"= AX :> A(:6D.q.
Lh
Kg -- CD = SB-R{
: go
-to
:: Lo rn
fu;- 4:".s r,..
{*- oh t,3q
I
.. I
at
I
I
J=.
".!,lr
ar jgt,t
&om
2D.o-
$
+
Jt-co",d t*ee =
tY.* tee- =
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tc.
Ab Le fbe, ttee b'o^
-{-ro- d&ha .'ca '@' .., 4o.'
( eoi h
.,
trhr
Ine. f"al uJel atqle-
f,L o."
D
14e
d"",-, Ax+ Qa,
*a., < = Ax
t-x
Ax
atb a .A colB
r *e)
F-+t#
qi
AX
x+t.
).1 t,
Fx
.{z t e^
T
J-^
cDtF =
ft&
aDt ( I j[+&
IC.T L : A)( coF,(
6*O
=)
-t6; * f:c+at - ^r cr)tp - Ax.otr.
Ax = lb-or to-<, ta^e
l;_r-^F*
a?ee- ,--A.ogte of e-tr1oq.'.',,
-+.q le- ofi e Lr.lau"c,,,
,9, .Gr,
ItLo
l*- x aF ?oBt r.
d & ta"ca ,b, .., 1-c,- X"e"-
Le p at- pol.,Fq.
a-bove- do,,fa & .'-eg"e.Le-'lad
P
h {.tA*"" o.r rhg,(,re.
.rb!.r +-f,-"?r!
t
FHo eBF> a,<-{ X
+7.
DPPDTf L- dfde
-4d fo. c a^t r Pa.
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+lerhbt- "h verFfc.a[ toure-
-Angla "fr e[ewahL
'b -bf
-4€1. ofi eL t -h't " o$- top
frv, abw. ,1{o.-o kq.l ,}
iiT*"e 0r. lhc.,o.r,
i4 "!r"r +-,Lgt., o." o[
L9-aludeJ c.nlL .!' s, fu"v
b'cr co Ay _l pe. ,
qa = (eq
-!-I Or 45" - _a r.
^Y
Ae = .4y
-/ rbr-+o =Ay.
Lr
= Pe.
{ro-o X, o( = !oo.
*.+-" y 14"-. a[,ove, *) ,
P -- 4so.
-t
1'r €1e -t,'J P. +.'_ o
h
X
.-4r)
-
+o.go" = Ig
Pr.
Pr= bn
G
P0-+o=pc
€
Pqt€l) = +oJ3.
zD€LG+r) -. zoL3t .^3),
2oL_: rrg) ..,.
r 4.,0 -_ oppol'LL Jld.
ta-Le.tf ltda .
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lo.
Lc F c-lc crJ be- cr l- -l-.,e ."gt-t-
.j""-, lat<. "levc[.
F.r". porb^l { 2ioo.ot-r
I
of-' ctavoh'."- of, +ry 'f
-+-6le- ob /ep'e<f"- ofi-
$e". Pe - tre' d-.n- .,q,.1
-Lpq.
Jel AO.'f .- Ap.,z'-. y
PQ . lhr >)-.' pq'=6*,.,-rrj
?
otove
,
dat-a ,? t"p,.^r^rcl
{r^ <--', oD X'b"". ar (Fawn
5:^ -b0..,r +",h^At.
on5t'. &e ntr*
fan rso = Aq
^Y
Pq
crloo'.,.
cloc' J
!c.Ao,,-,
3".13L
-Ga -tcr k c
x=t59
ty€t kc A)e
r.; ,_.nt^.
c.1te-
:) u26g= +,
"Y-)aLr-t,l_-r)
i--.,ee
#,^A xO $ . -- 'L*:- =)
o.lA8 +
{ o"4<'-- 4_e' = Ac*pp'
AY _^Y
* Aty = >.-.r C brx)
: +r z7_.
+ aY = g+,>x ._@-o
*L' = >x
5_oo o_ =2 -igl
>scD
t I3(r.83)-.
I
i
!
1
I
I
A.r-,
r630.83tat2qon
43oo. g"'"
-
i
I
I
i
:
I
!
i
I
I
I
I
wep.ere-,tzJ
r
"l-'efgnr o
$
a to uJ a.bova la bc
RD Sharma Class 10 Solutions Applications of Trigonometry
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Let x be, fo,%1
,1,, .., e t+er
-A-qle rl rL'.nlrbe^ o{ ,louJ,J v " -t)
,A- ri' ri Jer.err,"o., ol rrocrclrt$
-f,aiglr 4 r l'..d {-o-", 0r.kq-
Pe' Le IFa -€flectpon t6n
clo.,,-.-, xA -LPg, , Ae =,r,..,,
D'il o^.. dl) rrottJ {'*v
rs xQ,
ta^ x =
O -o :-z L
u-^F- to.,n = 21,
l! A," q
Cas c( =
dqFa & vcgrcr <-^,tzd ,: 4.-* + d Jgu"c
5o 1d1q r
.L
L.rsP : 3Qr
e.
+-'P = l-+ >t th
'B
-.
P
orLove- ,Lake-
{woco y_ : (.
* eltc cl-,"o.r 3" .!-ate"
'p.
-FQ.
Pe' = pe
AF =xt1 * tq,-.
g'f.t $ oLre,rr,^ott$.-.
Ax- 2l
.to"
F - l-o.a.
'tEL abovc
At l,L, q-, n.
i- aAe*
.t
,-"x = {-Q_
A{.
Qr = a<
r(
-{D
<D
,41
ln
Ai-
xQ
XQ
ABc x
: -21, Au x
*o-p_ to^,r.
rh cloua -f,.o- gop"r
"f oke.',a,hL
: t-'raca /to"B- lonV.
4,1t0.,,..
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53.
5r.
Ur
*k
ra t. +. 'L Ll Dl aer"D * roltac€
! te tc_wo -.,ttc I Fo.rr or
Jfu acvoplala. XY = t ywila.
-A.gte eb cleg;e rr ic," ob K -ir.o- F ' x.
,Aoqla oh .1e;'err '*'" ti Y 4""" t -- p
.fFi above da t-a- & "reE*zce"'teJ P" <o-- c,h
d .fr*". ar t hou,:o '
5., vrir'r 1.'ia-"31", i-6
(!),rO
."1 t, ( ltvleA oagr. r q G)
tc,. g = cr-'p,lflti] 'rlJ.-1-#
#jac.-t-s2L.
-tY o.ri
opr.orii,z-ll
t-ou'J.
liifa +
-Ll+..€J .
-r^ -a Px Q
I Ct^ ,< --
XQ=
D.L
.fi"^
I
,r. pA y
-ta p = ro
aY
qY = Pq.
+,'"P
!Y - Fq
F&
XQ,
iq
_t
YQ r 6Y = PQ
" !A ?
*a,.a f-F
PA
rq l+gd-P-lL +o.,... t-pJ
= _1C.l4-
l a"F_
to'a .r b-r- p
ob ae ^'oglzroa =
4.^.: t ^.E ,--? ln"
lan< + fur"p
1.'" P
-l^,e,%t't(j
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54
E-A - -o--- nA; pr. * l^,,"gr^r- .r *e
-A^gle- cr$- e t"va tic"- -f
-A.-qla ot= c L"yo Ffo-, ot
&. a[r,'," L q*.-,.af Pr" r1
{J6".ve dJ ALot:o,
- - r)DDri ( i L! .lL de
" -) !-
*liac e"t- eia..
C- v.'gr"l +.Jc'"gle
h &€ ob
3, c [uJ eJ o"1t fr ,s , .Ifu *
'i -toL-r". +e,bht_
B '4-c'". P="4
I 4,o- c =F.
"'.fY cr€.-t ed I {,r-*., o}-
P
QX.
+B
4e
Qx.
D'ao $x -! -AB
54 t@{
fo,"p = Bx
, 7q: A-t,4r=
--t-r A BFA
tan<=
= A6-a .
AE
| - r.}nB
o- tan 4
-ttrrr r{
-ta.
Qx
+ to"p= 4 8- ,4x
Qx.
916"13 . *R -a ^| _ -{rl
Qa.
e=r
ID 'aF
a=
AB
-l'e,it"r ob
DIr Fo.rcn t{*
l-A
4e
.t
rola -h^a-
----- ---- 1
tr. < .
e>r:49 =
ta"x
o
ta. x *14^p
po." = o**ltF.,.^r_r"^u;
porF ! tor.'zr . .lf t*.",{ -lonF),
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51, Lef {e N4 .i-aAde, '".i+i-U 1
ah
d fo fi'rou"d'
r".ctP.ol-.tr-
l!i',e..' f k {oot. ft 1xrtldJ ffiiesgl- J&t-a"c<- 'cJ
lc F BBI - 
hl .o c.,rJ Aal = 't '-o
Dec., a,"6lc of z Lvze Froo" S' '''" et = P'
{. aLorc, r%
{o"".,oFrqo.' & n- eg' esc^tcd
qf sq u<e aJ {oc.,o
Lel Ae_I
A<ou'n
A'?=* BP=
f- aaee'
S;n c{ = -o
CO.go(
g a rie'e
E
-o
r% tro"..- oh
Ag = atet
L
de
'd
_l
Jt"^g = A? * ci^g r :r- _6,I A'B t Ag )
cor p = B'P :? cl]( ts = ,j *S _@
" -FB' ' +ne
si-',a. g+
AB
Cose( = -!-Ag
sinx-s,%g = t. AB.
cosg - colca = 4-, Aa'.
co!E:
's{_ = a
3,?'a -Irbn p t
AP-
Ae'
=gAB
o*o
@-o
/=
-e,
-@
@.R
e-/
Co{o( - aa{ b
Srr)p - Jl; d
+
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55' LcF Acr!7ht c$ *t..1.' b" 'l-,'.n.: Pe,
*oVie o! e Lewcr lL"o.' crF loEF A o-'
6".oe.-J
l-e I B k Tef'L
't ''.', aLo'e' '!r;e A'
a^61e, o$ Jegv e-cr r'cre o[ -$o-t- o[ -to'"'v
Jft:r- crLo,
"
dc,fc' tt r7 erenfal e' 'f-'-"'.
a! I Aou'^,.
j".t.o Bx I pe. *" ". {,"7.-"".-.' T'?
- ax- b-.,-lrt A. FBd
r^ -AgBx
lana . 3p
^ 1..r^8, @:-
BY("I O*'_O
-tr6rr, o e,: p.
ob' n.V,' "
o
@
56.
t""F
=rQ
QX
Sx-tg11 --
PQ" ll(r- Lo..6a..,rl^
-.-FrcrnF
.A e
'ocl
c -t() -l) 1oare. = B. tc,^... r rrbp.
itaf3t"r c{ ob{"",ra, = AB = r.s.,..
fi2,6i-'r Dh tor.,e -r = pq, = Bo.-.
+,e J6l-, r o[ +oux" oAowe JFe, otce-,,ro
D & i o,-'re, te lc,,ea.., tocoe,. &
e Le orgtc ,fi et-t.-t''o-r of
Sli alore- daha 11 vepere.tr:J
ft {o'- o}- ff?- ". {hqrn
J...- {J? tcr.,o = ofporil,- riae
A$oce^F cide
ot'r. t ,r, -,
e1e : 3D -l g
Qv - zs,s.".
xB- = z*9.5..-'.
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to^ e = 2g.s
4d,
Bc: J-r-?+i,
5#,0,r'= 4g .+
BL
=I'99-16.'t6';= 1{..
q{'
a :-i.f
*
sl..,a+fa-, = flo
5t L. r -ou l>z hc fgtt
lan ,1 foct ErJ 6a"
Let. P *Q te e4u zzL
Jtse aLcve, r'-
{o-..at-Po-
{ r'gr*" *-l t[-oc.ro.
e[ rFe-l = t.s..:.
q,ita.
?*oL.--j. .1f a-,
cl 9r l,E",c-o -tt-e-( 4p = f).E .o , A6?:16.
1L vag-er.^1,..1 g 1.,..,ob,e
d..o., ?x s- 1,4 / QZIA A,
-!.eq
(
!5
BU
rf.3. -n.
I xq LCA, zktJU
SL". b3 = ZtA
LV
cz : 'J--
./:,

cz -- L.6q'+ .r,.
ol'
u
J:=
t
a
r.5
15,.L __
(3
#% eo" = x11
{L.
=) {c = 9:5, Eazl
= /.lE v I
[T/ 3
v-3
%
l. 4 D'l -l .n.
For bo1 r.
Ie"r ol rF..'^? rs = roo r..
-Y' mcrde t.4 tl-iU
Fo' bX.
-h*hF 'b L-?(ct'-?
/ ta't
6oa J I
i
ffoLod = 6<"- 3cr'
CD
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le- "r,oJ
z. ty ri--'.lX c-.rf tr', b..fta,%? -+o? F-- 4"'
Ie .144, kf lt ,fq--.zal eh
Fiht .r'ee t- rnt'gts
ffiL rrLauu P''$o".arlo" S
) l'z''"t o! rL'oe'-'^
0
d'a.., BxI Ac, 'y'D+ eL
3.^ dA6x
-Lo. go'
= Bx
*t' '1
t. 'og"
'r€ FY!1e.,'h.{
g
to+h Iq!,
<"-- .b
6C.
D
5'4 <I] =
BY=
5)" / gvo
i." ?F,4
'i le,"Ahl o! fo".,.o
he,"gt'f of l'ttt
Ax. A
B* =) _: -_ B* + Bx -_ Bu",r
^B
' )- loo
B) ._ XY = 5o- tg.n -- ..D4,.
.,(,?-' 4s" = BY
eP
t - 40_ t gD = 4oJ-2.n.
,t> -E;
nl $L' e aJ oa s+,,"^4
"l Lqt - 4<tb ,.
"l (l/(
.A2,
CD
5o "o

l-,,.o .
tor*ogle o[ abvoFP6n oI ob litr +""n f.oi of
1o",,.'
-A^q l" o L
(U
P - ao"'
,b -lr,F. of toe"." &,^" *-.t 4
'{o {e'--a+,"o., &
e {.
"
<,t f''or
,fFe aLova
1k.". ^a
I
I
?i-
I
I lo-l,n
oer.ere^,teJ ,". fu,_ ,J-
RD Sharma Class 10 Solutions Applications of Trigonometry
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f'o- +,"A,
5- a +ec_
*o.3o"= og,p, -
aaj
.!= ss * B13 Bc
9. a ecp
-L* 6o' ..
itg =
-harirr "b
{a
w
c = s-oJt.
!Pg'= qlz =etat Bc E{"l3.
9r =;
SD.l3
-+lr'tr
CrJ = 5ox3= iSO.,
E , !-o"r.
t{ts Sr t" toat- -a a^d g. & boaf, 1 .
l^'"f6u.r
+ -L,!qr.'t -l-our c =rh,.o = _€.
D fll-o.'ce tu ft.r."., 8,6.. = l0oo.
4aV1e + alr vcr Fr"* rb * {-o- B, ar : Joo.
-A-1le $ el,+vatfic.,
"i A &"- q, F=+d
alave ,o.l
4"-..".,of-"* er
'!re {o".- "b *Je*
,thr
fo
,u€
' e t^
1o" so' -
grB -
?- A +aq
o"@
a +eef
ADP. -
o{
"&
aa./"3 . !, 13 --- O
*o,-,{9o
= 49 + ll
Bq
qS f BB{ : +1G rL
-"F...r." kJ
o,t Ll,ow.,
= 8e
-,4
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:) B,B" = "511'. *',
d= GrB, _ too
€l- t Ji't t
x G-t
€r
= loo({3-r) -_ sot.r3 -r)
L
.l' e ,oql" l- o{ J
'%l-
I -hor, tp = E ol G -,) ..,h
-lI
-le,"3i.t 4 l.".?ta.'= -dB= 6om.
Jnefghr ol "[o-."p f,,c,{ f cb = h.o.
,A"2re oh .teg'euPo."
$ fop o[ tcr-^g 3o_rt
aop oh bufra,%X < -_ ioo
-*n2le oh -{e3yelrrod ob totlo- ofi to-6 .1or r
1op oh turldr^? ,p = ai
il"{ a}ow ,t^
{o.,*alp' 6r" ti regr e1a,..,1s.1 ,%
of f '"6u '" a( Jhou:o
d. ctt r .bx I AG , Dx = AL, cD =a^.
i]^ A eox
+orrd = ofr
= B(
"{ bx
|o.' :d = 6o*cr
DX.,
Ao-h
AL
c -- (Ao -h) f: -.'.
-O
' +a.F = 4s > +a. Ao"
AL
_tr t,
'l)
+etz.'
mz {o,-"
Oo
'l3
= 6o
AC
2o.ls.o.
:> AC-
--@
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{""-Ot@
*l efgt,r
q& s,
"4-gl.
'A.3te
"r al orr*r e J
d 9r Fct-"-
of
&hove
$ ' 6 '.'-e
a Agst
I
l6o-r,)G = zoJa
6o-l-, : lo
=2 [ - 4orn .
+efet f o$ la'-p pot F =+a'a'
D& fd,-r" be F,-r,e"., Ia^p gorFl L*rftd,?< Ac--- zo'[i m
> f{42-<<.'ce LeYt^.12a a l-<-"g6i:t D|1 L&ild.""q '<
t&Y Foar-'
= Bx -- 60-+ = 6D- +o = LDd)'
oh .-[r'4xl }'ou--Le, = 'l-r' '-e l-rcs.
ta tu.6 rhi3_r bo opp or?li -rPltr
t. tqY^nat1 156 (]l
ar rt-,oL-co.
=&b
ok I!hF l.oLtre
v-
.-tlg{r+ +'oure :o! Jeg''elrr'o.-' ob
", +.- +"p ob
ole
o[ deg.av r'cn .'f -t, *..,- ts-p o[ .tr,!l.t loL41=
-kr yvolra 16a l-
Eetau', rt Ppr = ht+g51_@ .,',tCot.
fe.a-ta-E
r e1^, r s.a
^1
c.{ '6^ J-}' ( {oi-.Jir-
lo
pfP.
*!-
h
=Aes,E
_(DSrB =
fo.a
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l. a ABs)_
+'a.p = aA => Bg, = h -OB, *"^P
Ao@ 9 Bs{+Bs} = h * l,.,
{a^., .;-,.p
r-- F
68. He ighF
ct4 c2 Le
-An3la D
I
-Aogia "b
' ''s. = h{#-;,1 = tt++=:_@p
to^" 1a- p
Dr"r lo-c c- teiur..' ahipr = L,ffa.e - 6o.L.:u). f tranEf . rncfyzl.
tb4_ tc,^F
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www.LearnCBSE.in
RD Sharma Class 10 Solutions Applications of Trigonometry
www.LearnCBSE.in
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RD Sharma Class 10 Solutions Applications of Trigonometry
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Rd sharma class 10 solutions some applications of trigonometry

  • 1. t+€ ist-ts anJ dj s+qYr€g , No.,, Fve.", AAe'c & Z' D & ba^ce o4" I -f- c4F + of el e v'rhfu. "F "0.a&E" = .{, ob .Lalae, g:6o", -- ? = ,+c. LJ.tLt- * ? 5ft1 : Bc. -n€,h0.b- k Fcrlce ., Pof" F oF otre'wat&n ,.o4 {oof "|, ,h t-ocoe v :- >Om. =BC ele,vaP,a.., ob top o$ to.,x," "b f*r.- H: ir ': {q oh* ..hD.tr fi"h"alz. = a{Beht-sl4{- oporiiz jpd._ 16-',6 = opforiD r,b164g +E tt* tiae,(eO i.e tangd = ''+g )-o )-o ro-^6dP. -zoxG aoJ3 'foto n H*sr oh : 2O"D .n. , )9 -6"1 ( 2o'',' - 6oo=€, --i ti.,r. r ", k F,,."'ce-, (rrtr .le..6tt RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 2. rllloLt t L.,o.,-, {** a"qte- t-%"6fe -4et^ @e = tdt'.!rl riJg -Atfl,tz^utr.. Cosgb': Bc "+c. I - z)p ,+L "4c > -z;q.l, s' . &o6$ eb =) + e-'n [[ r^ra!l = l.l r-.r J,aAAe- .X, 6. b& t-^'c-. r/r8tc |*,Au,t hJo- trn U l1-n- l. LJntl = zm a BO LeFwtno {oob o}- la&.. .nade td .[ad&v ..,l+6 e 5 6cre ' + r.ratt 4= 1 = :48. a ttoraf()ABL (".- ffrar.d a-dteA -l-rfc."Alt .t-aa 6e' : -46 Bc. '.13 = ite,1, -'. +.',e.6C'f o[ 'eall rr - 2{3.O. foos = opporilT ridg 4Jjaccat rr%a, 9. -a{{::-Ecn. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 3. +,k8?e"h oh 4te made ,Itr b{ e "j H : tor) :Ag u,f+6 grou.d ( +c';zo"tot) Jel- tF *. &"- {** Jr.e noog+t, .re F.r r € ri b- "F <r(]Ltr.re a- '-'ft+t atova dafa ,8, .tEt., rof ,f"rqcr",q le -48C. (l *c I A =) sfc' 4S" = ,+g *c' lo tn .t, roJi-. L!J."{e U -[e-6tr, "h = I oJi.n. t* 'i1- 0- 5. #urnJ -fl€'%hl o{ kiF +o.-a/ 5,,.lSo.hu- olt x l,"i"t u( 9- J-e^q+t, ol sf'f^q -tqli( 6-*oct-,d = +5rr: Ag *?+t Ar.-,a V 6o" =9 =*U poLa.e.r<. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 4. ,f LLi( j*'- +5.- c $e ". fqFr rit; oI st.o = oPporth, efda' J.'61ote otue-' 3r^ bO : .{. :f.SX r_ v3 5o"[ -o, Lf,f,g .X V 3 3 x50 {3 = SoG m. V H'..,?. o-tove dala, t2' 3-..."t .ta -49_ +t' €= -L -- fl_ ot- v 6. t"fc.re., p"fll kilf -- qo ..o. tfl o*'h .., ft{., q.rd ri s. !5 & t'^"1 /!q) L8l .1-e.h!'t- eh .[Ec, kglu' L^ o:r,al p A a d-fr*.. *".'a.oq le 48r,,'--"'1..-"' i I I .[a"Cfi. A-6te- 9r Jf, .l-e-g+t oh ,*.? "ootd e i c-e = cdL Y eP{e(?.t- .tr-a ,tL,ot -, .tFe., tf Ye f€t?^f trEe, atlare ' da Fa. {,"a- .' " o I tloo TR 0.. r io L.t o.'9{ a .1 l' 'oo ^glE -4et ' qU ("'* #66r RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 5. *o."o = opporil' r-ide 'fujo.. €^F {fd.., 11 B(. 9H -oIt J., a4e,L , Wn^A-'^ TFo"-"o lc- -6- EL qo- = &-.li-))*- r-r>, lE,/ loa: lgrrrltg+;:- l5r' H'lQLr'rs>) = lDlx rsL t-trt6+r rrS) = (1e119:- HL r p6x15.;r- 281 H'--. f.loxr(-r L i+- ,/ H = goxr_E _lJ._ _ r r.1t o[ kilz fvom 6-o0]"d louu ,$o.g 4&. Bc n =*t.fl.ro. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 6. ? 6lve. ve ih"c_cr[ l-ct 'rr, .& Dftt-a''ce etsu:te.. 4"g'. o[ n tcvah'o', Aorv-n6*.1.; t.d #"A o*bf Ia''c' a"d ot!."rro" = lo.cr. 3 gC ,fr fog Joco.r "t = 44.of u "b WL & 'tJ^ ''t1*t f,arp = sc Pt.. -+ Jor 60" + $++o ? {-- a: +4u "t ele"of,"- of {9 6[a6,rt--ffi p = eoe .tre,!l''t "l- fy"fr = Jr. - Ao "ht2c.r "f to..*.r = 4. : AB. ^.esY.( e ^i- nlt aLovt Acnta' d,2-"" 'fq?' fr (". "-r ,?", +-,"""nler 4 lt€c r ,4cBD. hl-,e", e ,i *At. - {'io.'eL Yr"A [.F Lia *o- < = 49 6C 2 fo-" 1So= t-t +o. + ha +oxJ = *o. H -- ao.o, Lnqo .t6ar . 3lillq = +o = +o[G) +ot.Ri) +o Lr .+s!--r) 5t"j'l.-o. {_t-t- 4o' -- +Dx O?A! -. . 4,: Sr.>t"r-; 't"'n-,!xr o[ iour"-- qo- -Leiql-,r ofi frn.*6n =s-l.:+.n. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 7. +c?ht- ,t J-e-F r.r &l{ L!.r€ it ir LnoLen ol poP.fc. urrt+r-" ,Aef6ht- 6'o"e'' TEah *tl" 'na.le t.d koLe" gr 'r ft-oe-d e = 6d. WL *.a-u" tra' * o. ? y ar,.zt {o 6aLe o pof.F c. - 4-, . = ec . Ats = Ac+Bc ? H= Ae-f i+ +c=G=+E,o. referc^t AF-. <tLo'r. dcttso- P^ IEL ("( ""'Jkr l+ fi."-^r {o.'r a.6k.r *<a^6f c -*at 6fi6d = Bc C& 'ld = +, , H .lr. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 8. Glts-b1 = 1" tEJa- hG = 2h (:+€)t, = rsQ. .1.., = tsrE x 2*J-3 >_:J^3 a*G I a.rf"-.' t ff i^+ dz ,.,o..,! te." I n.m"r.t 4.,"$ g.,.r.. "f iotrt,ir olct,=) I = Es2l-g, 2:-{f,)- = rEt>J.3_g }l = tst2r3..3) {"ei1nt 4 LsoLen poP" f -6"- fr.ror.r,'a : rs l>r.r -s)"n 'Le'"qu'r o[ .rqz *t"g.t-.61 t,,- 5-. = A+. A-Vte "F el",..t-i-, ,F *, "h dq"o66 = 6a.--q. +d" .h eLvoF,t, oi totro $ fl{_j-=""=U .Let +e,6tl- ofi -16-"- te 11 -,r.: uAB- ' t fi LL't ' vc? tlc^t .1tr? aLoue do la Pn yq-}4t d"* ", <,h-,. rGe^ i, d*- l-.'^.€t( ,/ i , ^ . , ceb P, cot.%r, -ABc & i4 cl"Jed- U" ,/ fi t"f*li. 1,ts:.18. / ,,."'Lt.*"- 4Jfcrc€^h I 649 = Hm RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 9. fa" q = Bo u I ta''6o" = 4an oo -F= 48 BC -fat 3e" - * BC rs (3rG= Bc. fr_t5 -oBC tt e e- -- +'r/ec t ;Gt 3. -- r-i -rE- + 8Ft = H+f **t,oq 6t-q 9l Fve.'- q H 'Fl =S e u=C: I'(..n. il -toltz". H = 9.rcn. t] f ohe.vcrbt"o-, (A) c,-:alkeJ 5o.', {*o., o( = 3oo - {-1rr poP"f 6; +o .48 = 5o.n. e tc vrrF,%o **"o'r ,4e.ond gof.F e * F= t€' +nAte of ntzvobloo of t.T .b -b,'t"" J=o. $*rF Le t- 3oF"t .+z -tk; "h4^€k No,,, leF Lrr v3vtle.rt 36- 6Pre^ cJccta P. (*'- "il dqa. rt .{o..".rr +""^7t- 'tCs '"rfti-' J.,"".'otl. BcE l'' fl- t z:c'--6' L e t 4p Po l^'t "l +d"' ' 12 qlu Hm = cD' gL = /' '('t:, ' RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 10. I * '---:!un .€& n-"^^Alo s ,1 A&, *d. :Fn"o = o>eoltF ,rPd e -++---- -4al icr ce " FrfJe JRo *ct ot = Cu AL. AstBc. 3 5ot)L + 5ottr: HJi *O fi p.O -, qo+ H: .E -lcrrF = C'D Bc, =r *.' ^ r--" ^ lt.-.-""_-...- )' + {1-_ H.; )C = H -/.i_=- '/{3 - uc. ----- .rt ! *re ,/ + n= >_Q.[ = z9{: llc iqt 'r o to-"' I I - e g[ ro Q' l1 le f .!Fe n,T* ,h ,t4,,.1o,., "b Lor.z.v url^p," A"?Xe 4 e Lvah{., &lo.ao9 Un. ;r ..D:sc-- q I .tlco occoxJF.l *o Y""Lle*' Jeogtx rh ,TFe aLaJc{.r c',ftr, :a-gle of e le "a (p=+*l ir lto+ic).n. = Bb. t.c.i i ro, ! RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 11. fTUJE 0 *"'a"* J-',"a"dc 5 "t- Yefett4t .IFe-, tt -4+c u ,I1|e, qAovc Aata f; {*.-! o- i,,^LVI- +Bo f-.-l"t"l,u?H. zg--1$. {-- p Jtr,c fon*. aG- BL ? *o"uo" = t-t + x= u _d) l3 r .&ukh"trr 6 r:- H-to-(/'n H -ro : !_ "la O .i3t-ro.r: = H !3-DH E- 106 + l-l : lo,l: rl5r H: loJS x lEtt _ @-u[cr9 I bJe tJ:a tD 5 !_3 t{]J > a3'666 { Rrrt,"".vrt.t. clc.,qn ry,atb" I '"h"^"t48-'? d*.h, 'f- L"t* ,1 a-.1^u +lefqar o[ fo"xv = 23.46.n_ I,e,t +*hF efi- *e'*" Le +r'n - -4G ".6e"t a^€t. "'tf. & e f,cr.,6r = opporili] atde, -,$a-1trc eal c 8de_. +-fa^([c .ttsao fft.a = 4e.E; 7 fon 45. - rt ' f,+lD + 5ctro 1H :) x,: H *ro -6 RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 12. lL. LeF Jpt- Lu Sa pa-vacl. sLt1; aF Afghert- pofnF *, c t D L4 Pofb hrf,".l.) aye I Do.r) o. 1vrv.t- tpl.'e te- *.o.,, ehvahLr f"o.. .[Fio CD: tDo.o. *r-' fl"yoc.d : of p"ta-c1"uf-- rtg = q-. ;:a%r u*t.e #o jc.rb- oLr c w<.t'.f,rr' ,1'o,fnb = r.D. *furt a',Ar,- *'"o,-BL o.,c- o'[- .t5o cr6te ef (attr fl.od +')ar€ f D&Fa.,t<. para cf'r-tF Rc(1ra(f ffi ftc{..dd porP"ts C = 4S o, f,.J 4Tle ob- el'a-vc-ho-' {-o- f,,,,?, r o = eo". tF] Lel- * t? .t6e po,flh _1irrr vrrhtall 1- Joc.,,, ,6-& pvo.ch.rtr- l_er ur d....,-dFL:,Ta* *"^ d ''A-." a{ A^or-n r. L'A&h -*ed ir +-L"(1. a,'l -A€D ,,",rl.rdeJ F^ pr -er *'f*.U.t. roorlu J ef . Mor r9^.-..- .9..21.6 fl1 {o-",r .6a L,., f+r-, e""+ 18, I oori DF->z- <---{ r-t------------ ' /*a're = opporiF r?lp I j --+e_l / +4"<rc"4c rflde_.| r__ _____,-__l RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 13. L LOrr"( = ,48 c8 ta''4So= l-t I OO+2(, I Do+r, E- H- ..---O lf*t,h eb- .tou.,c, l"r ,+'4 g' t. *a.,o -tr- 4e De" *an6o" H=- ta. €*. o&o ./Er_ = roo tx, (.la-g o. = 1oc, t = l9o-^ €*l €-t Cr. . = loo( _fri_r) L 9 :c = toL€tt).,,, _ v 5 .- /_, ^ - ".tu U. .rAz+ D + )r = Foc!..la)-) I t- = ,36.6.r_D. ri O H = .I8xr3t.6 = r.ig? xt36.6 = 236.6"r). _O fro.,.7 grouJ U fi = 2J6.6 .D. pavaco'ut {6'ttt rt: 136.6"co -nxto.''s- aefgc,,f o$- 3a'.acAuf Pftha'ca LeF-ce., poF.t tDhr.e. ffr*t L jLLr F ot te...rolrtro P.r h : Ar3 : tsb .n. ti',o oliz c h (r) Jhc 6rouoJ. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 14. *.nre of dca-erePo-, f, obir.t n' farnxJ = p= r,so. = z*Ate. -+-6rz- o[ &g<,crfm ofi oL(ecr- n * [+xllrre] LX h&' -- at : bD "_ LABTB faxl'a'e] lrF A'gr=x gtg..,t Ai Lpe ,e prur.t ,Il,t o to,,J J-t" !% q|"'0.,". , XF.. ?r- & ar rl,6.,,a vril:r. z-.g=ao' A'l':' reJtstt-----+{<_--.1 t.n -t ./ac'ts "-Bu +-!a'-dt, 3$ one- + lf- r?.ctu,-dal t^d. & o .e; 'L Ar, - * fo.ad O P"@ ) + ttd = 'lg -nG tans = Ae Arg ta-1s"= r5o ot( Lr t =- rso .-@ = l5o- gDl r x2^,, ' ") = 63 + o") *re = 6=..1 rD. hg Be' : lSD !+ ISO _ rSO € a+ 5!_l3 . rso vi '/ :L = lso _. 5913 = lso_ 86.6 ba[r:ee,, otlec hDlrFo,'r . RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 15. *n2V "h Le t- a)e, e-Lvat ro,:- of tog -J*ct-. go,9,t- A., at = advontpA S.ou2t-, -ttseo 4g = tso.l., o[- ]o..rr.r 4.o.,, 3d. .4 +{, s b.d t5D.o CD AD h"F= t an r,o" H: cD, BD _tl ,l{5 =2 J = lEo+a, : r-J J3. '-(l) l5O + r+ ^ Lr.a" -> ,,/-i, u /g1 - rso t,rz ) aef6rr fi ,/: e h. {G-r r(zl tso x rj3 = l5o. : 45G = 45xt +22 r>9.1-o of, -+orue- = lz? q.'o. +"Aln- efi efcva.LJu-, o$ +"p of, ,lo,,.re" {wo.r r,ecr:ol poi.t g, € = eo.. Lel tt-e.fr;r ef -l-ot _rz, ctr = t-l .D. Xt u)e- wep-ere.l J1=<, oto,," d..1a f" {"..- 'h d,A:"" -tq". fc {u,.-. 43A-". dr ,rlo..-r r.:ftr z>=1d. ##;H 5r$- ro. 'f€D,r o^€leJ -l..Pa1,le , ooe otr P.dvlee o,fl<, ft e JEe,., to-< = t^r,;lo" t5o+:{- f"O .-o RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 16. Dr1to,rc- beFus"n.., Le l- a',e 36t rb b h t orce 6e t-.-.r".., "f Lt'e Yeff"'tlenF t'V*"" , ''[Fe'' fr r.or" tl z-t' =Jo"- g. *iyr"r il"a - L . fF, F. cl '..1eJoh -e__' Jheo fc.r < : fo.-, :o" >Df 1- zo"1- 1 - +lC -D (, ." (_1, => 2of I t€ Lr., Da- toJ-3 _ -E- -la%* olgu Dlrlo,,r" ol 0 of a0z,,a.l-.15 "b A ,'4, -fot-.rc" ac creJ JEZ do'--d +"p f toLoe' {-o- pef^y-6 d -- zo". -f.p ,h toco". -J"o_ 3ol_ Fe F-ao" 1+8 = !b.r. co = 't'-q po8r g {-o.., (oof o} ctLn"e, daa, f- uf. t!tr* o! tlot -yt $tt 4nA14 of e)+vaffse J. :GD €p &D -J^ 'l"fa'7|- ,oX "n- 4" &o fa^o - r^ ED *a^ad ^ -l-r :--. :c = | - /i ./], . c1 =hG ]-tG-!) = '.o.,tz I = ?9€ 'toxJ3 = ->o =) 4 l*'3r.o. lo..r1l *ot:.. 4 = i+S)ro, toi,:r' -(-.o.' pP.'t O = po.r-16; - 36".,. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 17. let 4s Jn e fg t-,t- E. J5o bc,fld .%.1 o$ lAo hrrb,?ln eLc.,.rffo", "$ 1c3 hr"ftdi'-? 4:soo. eLe-vatf6-' 4 +Df t,'L?td.ot F= 60: od cp Lz, .t92 { lb-. :-h = *B ofi to.,-:e" -f..- -irp "b- F_> r tt *--{ BD = bx = t)c' .r, . ,48 = XD = ..1-r : rs'.D. 5i r{ g ,lq-e. "rfghF -l-.-fa,-61s h Dio "f nt, !.drd;.d a,2!. *ctn < = Cx AX ? 144 3c)" : al ic. o 6 AG.-O ;c .t :cG = a+iS. *ngte o[ Aoalt o]. 4V D ir lo.rz 6eti,,:eu. *orue^ x Lcdtd.%? tsb : >L . l-et he,.tXtrts of lt>t'te* aLove b,n6,pn- L",A.,', 3f b)( vzg- <rc,,t d.r)e- aL-.at". J,ztsa- Fn +'.- oD {h*. rrtsea fr {o.-.-r { f6*'" nr al.ouro. r'fr.- z-a -6' 4 olro d..ano 4y Il bD ) zAKc- :1f . .ge,e 46DX lt a *ecFc.,111L of +o,,,"' t*- t"t6-- "6_ A B *cr.r A : Cor- E; ? -1a,. kf -- o_r 15- & T RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 18. 0f i5: ? &o-= +L= rt !:l = -+') 'n loq-26t alova bet tteen tor.,sc " : .J. S.x l.+B L = 12'11 -t. 6rot-o,J - .A r-o, = lqt+.S _ '2>.S"o. arJ t..ftdf-q = t>.9e ^n(] +,ogt t dt Fo.,ce IB ,f Le t- 48 fz .tbz tfou-,zv c-,d Bd te d{.?lr-6pOo JIEZ to*.,. D&t-o..,c" oi Ff"F o[ ok-vafr%o *o,,re " $1>= 1-o- -hl" eh e tr-vab-.eo efr +-p oi -A-,gte of e[evaF,% + t"HG- 4 Jet- '6ei3hF o[ -fat sc" =12y, :: t":l. 'heftht o[ ;ole = (3, : eg. Jfiz obu" d.,io fu veyete.frel ,P. tlJ ^l.or'ro t'i*{r LA -- 1o" J-*- +'-F or- {b- ob dt-"" -f- t.-, rooc ludel ta"s - -4{jacznt-rlde' *hht -+-&.€le fl"6rt-$ft4a: eo". {r"6 ga" teJ p = acr- o,r6le &o, 01e JhA. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 19. *ana = 4c 'qt -Fo', Lo' = )cru = u=( :Li l{ q 1J6. 9J3-sG fonp = 1!1 AD fa"' eo' = :c I r= ? = ,=.]3 'li = 5 1L.o. t_-1JL 5t194 16'.9' = 6J3 = 6x t.+3 L : l o.3q z .D, -haf6ht of fouoe" -be.!r,t eb- Fle t' 5-1.1 a^ 1b.33).rr, Let- f.?ffat{X I*e<, Ae,'gr"t ba *e, L4 LtJ o,r!u-n ed ;tha h J6e, *ree & L'-epn ab- pofrl c- *d" -...oa[a bd bookeo go..l- cB, t,.'+r-, ?"roud r"s Jo' = g' D fr bq.,ce bett,eeo $ooi o$ -L*e. 1o gof,.r .rhc"e lf for.r ch e,r E".ou.t gt* = S- , O"rflto ofr *"ee = +" = *c+esr. -- Ac+Lg. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 20. IE, a-bove (PX.'e eL t {o---ntPoo ,{l'otrrr. ..e3'<re''t ''" ,fbL -J".- "b llgr''t + tvez _ CoS 3o" = 48 be -Fo',66or cA ABI -!- = c+ .v3B cA= g !3 eBltc4: tt r I V3 ..J3 = 8G- G= cei = 4g cd _8- c6t t6 E :3=8x5 GE LaF {^gta AB = 4e3lr o1- +l.rq.te- eh e bwolftro Jhe :bocoer cird e l+vcthoon *f t"f taweo "h Bo ba JR" $rtogy ot- l'!du.oT d'c.- p a=af, > I D"... i;oy o[ dta.?rrd$F +-D- p P= +4, I e t- Ae %C.r o '|lapfaf $- =BD = (a, .v,.. Tbe ^L-tz ,P., {o--,,ah.o- & we,p-er.<oFzJ 'o" 1o-' of {,fo^" ^ tLtot'L:x'>' bilA LA =7o". G a -fghu o.gted 'l-ta"3.le' ft o^e- + fre. 'Bchded' b Ft.drt"ll- lt^ *) B asgg - -A {i"o.c elh rida * poLea,rre- +cr. s = o?!or i]a-^1"r de ''adf"r ce -Frr2e- RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 21. a.Ble &e fn ^ bec. opportli,rf4e .'til'o ce-t JriJa *en * = ,49 AP *on sd -- tc AP ran 15" = tO r(} AP lo-+ a- =- 49 &: l:{-3) - I O -- 4.3r- cr. .lt"'2xr "t tla,il*ilrld : :f.3-r.o. d& i-."" tel-cuaeo P o-d qf oob of |our" : l+.6:.o, Jeei?hr efi .rhe a&l : l. a .o . 3 cD p &+oos el- q-1"' t $o." .[o-p porF = 3"2.q. = .CA . ten3+r. oF ^hddot, c':,.LteA 6( -[a1, port : f e., : EA LaF d tu Jtre- aoq.lc lc-tbte^ded *?" ot- ,lhodow +D fog of ff9t on; -Lo-p qorl: Ji., ct$o.re dc.fa ft r?,rertoteJ ig -f€.*.' o[ t'k-'" &! lhocr:o. ,.,ftt, z4 --1d. J-.*.. {pT. O gr&pqareE&_grir," lt="o t oJE to x t""13 )- If, -12 ta^ 11 = co_ Ec. **n = L, C l"-'-r 3 : .t) (---{ A 4te"<*-----."l EA -cn a l"L + e-3,) -:9:I t'b RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 22. -?" a geq. *o,,o1 = *g EA. lan45o: AB *,ePgt"t 4'c ,Ag = +,e.o. of {"-.'p po.t : AB = 4.s.o. f^ abec. .r aBe4. LDEL '- Le'eA LI,LI = LBAE A.a r P-f la"?h,r C Aoec - TA EA -C-A = <. Lco..",,oo t1^qL,J. = ?d. od be_gc_= Bg+ , DL B& =!QB4 ge Ec-cc* trA- - g" 't {"8 - 3. r- - 1-4 1*8 RA t.L = t.t" 4'8 B& BA = t"6x+.9 t.L. : +sm ,hcJnhr e[ !r"-ita" -F-,uao ,lePpr ot .[o-g 3orl : f.& co. Jrefght efr ffi bt PQ-.= r.s-" = AA1 =Ber J}.-L bui Ld I .a ( eLl'wahm -ra-od CD " 30 'ro . 4i"rt poi.ts B Le.4trlA.,-'LL sL (U RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 23. let- *,o 4t -Ar6t a DU;A.LL "b mov€J fo p' a_"d e.dz, p eL,zo{,"a- f-o" Bl . p 6d EeYruo.n ott""rr.,t'.o., ?of-k _ ,1g = At6r a t,F,,.^t"l ,% rU 1"-. J_A l] ( . >g.g **? ,15 _ Bx_ v3 = 9.s,E..,. :c= 2€.sG .- 9.9J3 _ rqJ!. - lq x r.+32 =_ ta 6.. Ar a-"d e.d?,, .porftfon cl,o^6e| +t },=;€f-+t:b 'fiai!flhF ot t.rrtdfr? aLovc_ r-4c _c fqc_r Ce = cb -€D = co - (ee'; = 3o - t.5 = 28.5.o . Nostr' tof ?n g, &-. G rLdE * a.' ed = G= =)Y DPl.Laoce .Ih-e dq"' r,!6 hr ce_-- ae. > 8'5 oLov- doto- or 'ii^owo a"tlel +".or,^Zl- i$ of .TrJr-, a,"60a & -l-A A C&rg. *ao3o'= Le 4 e. )8"9 -*t = >€.s,Q oa:orfl;- af,rt- *{i..ce-t ciae .oalKe.l *o"r:r,,r.L tu.ifd p.fl = leJQ "". RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 24. zg. [.F -h*tlt o fot-.:er +e= ''l-i "q --rvle *ocor r -4-qle t.( "rff * fT of Ahar{ot,,: -Fo tog c< -- 6 90. Ahadcl-.: be I 1' r'r. = BDJ-a^3th ol. tl &.A+{. D r-L'odo- 11 (4: -t4o) .' [Fv '" ai1le "-t ekv.t'ooo u F= ad' .Ih, aLa,e- d..te ,or v e q.' .re. t " J p" (t-". d1 abqo. +-".-flt" &)e "[ ,k-,tr,^a re,.ctcrdeJ *4" (J e !t|u?a Cl.*+o<gD5-z<-**J[ Lar Lrle. -le'e Id-d ^ Ag ts |a^'6cf = .1, -x- "r. : xJi _O J--- CDr n .!, . fa.p= *an.:c" : 4q EL' .h Jrf +o rci+o: +fi _,(" ') r+4o= $€)G) 2o JE .o. loroa- = eoJi .r.,. l--. It*^e - ryal;C-_*" I I +uio.r^F<t:., I -heiX h F of RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 25. 2"4. ffv'" -h(,'Bh t. e[ bLLftd-.T'? . :o.o,= 48. .lel J"e,l't e$ n,otae, atr*ut t.-1J,%q = ;e,6i''r ", tct,:.' t b*gtd% = Qttro;.o, [{"o.., *"81" rt rL,,al f'", oh ** "h *a-oc, x= tsa. -*o4ie ab elewotPsn "r +" of -totoe. p = s,f . lef cl&la.a. Lefr,i,ez.' focr,r, .Q d"r.'-^t%. 1of-l = aloavz J.,b- ,i reg' cre-t-eJ P^ at l.hot"J,r. D^e "t iI}. Rcl*.r..r *q[. -tLt ^d, -1n""^01. ,i p !tF{, rt- '?. ,,FL't ^, {o.." r,h {er" 'N.- = p" ;1.roc-Jl = 46 . v' 5t '.n (+'", e ( 'o^rl *-nn 4 = Ae ,1D -, ''t1^ 4qr __ I I c^P = CA D4. =l -ka- 6o" = 4,r rrr -"' . 4.,tLA = >..fa =i .}'- zot€-r) > ro tJE -i).r) = )o I r.-T3 !_?) = >Dx D.t B! . = lf 6-+t . 'r Zp- :L : 2o., . 4e,'6i.r ofi -forr'r"t L = o Ppodlt aPdc RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 26. I I I 2.5. l"r +,cQht of r^utu,stariacr f.tLl.h ,j.,_.= AB . +le,?Ar.b ,b fdu k trd,T, = I .D. = cD -togre ef d1.--s'L "h -ttf u6 +-t, rr,ird. < = :o" A-Vte ofi depv"rr?r. of tob- o, f"1r f".iLa,rn p = tf. DPri-o^ce- teta:Ea- +*'o &ttLa,''tl '= (>t' -4 = g9 -ztB = 41 1-16 h'r x6=co t-e-r Ax --:- [','nxcr ri "- ra-4"1. fn 'te ='dl "n -t- B.n 46: (at s)-o a. Ix Itr1.r, crLaue, ,!4r".,-ffl^ & 8o .{tr do,- ,b ffg*"" t?"rtnbJ ar ,<hot r. B F= *" -r .1F.., $ L Ax& ta":d = Ax t- 71- 3 + q e,) ta. ra" ^ A8= f3) tL+ I >t, . (-^ BDn l= *r=e I, + cL-tg =:{- =O ) o, # * J::,1 = 4 tJ<ti)'-<- !" ti - +[J3+r) %- +(a-,E)-.,. A€:ate = +(A+g- (].cr [tiho-%J u^]ftd.,"^a , 4 {Jc , 3) -, bet:,,e'. L<'?w$ff 4(:. r1r.,. Or"O Ir efoN"t D rJ ftrc e c^, :L= aJZ --ri ,fAhF &.,"(}tl4 o!- r?-'ct..Jed o"4l- 6 o ,h RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 27. *e r +e,"61-,r 6et"3Ar +l.7le -4-? tc .tcro x - !6, bL ta"451= +, DL. Dc = +"8.. r Dc : '-o ^.-6 {*o-' Q *@ d- "1,+r.s ob StQ-". -,"A}.,h ^81" f-6 [,'lJ 1.1 aj[e & B ol_l3l!_ rG. €fcree-F rfl4e- e ["...t-io, eh +og "h eLc.rat r"c- oF tcJr! rdr oF ordcrlol l-,e 'J..-llt AFztFr.re = l- b.r.crI €L efr At-ab?- d = eb". F = ,td"_ th.W JT- "ioh s?., aky. .,1 io'.- l. J6,. datn l' r-. +*"4?1. crr. s- ap-cr z-,|-eJ aJ z-Lrourg. Lants = AL Dc. fcr.- ad DL= =5il/ -r, + tjL a -r'h.) G *,.D = .h l',.g ^Lr:) =16 {' t't x 'l:-r r €r .l-.*' of 3e dtrt-a L = = o.8[-t]+r). D,8 [.l3 ir ).-n. .}e r"Xr,.r RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 28. )-1 . let J..c,khF l^li.J ii. ol- t) *-atu o[ UU l-.,rtz "ltCU tT- to l. J6Z o.bov" ofi 1;otozv : l-'.o .: fr@ r'lve ' lrz 'rr-o = gg . z.b"ation !'o- tc-k "f ri"." <. elr-"ahl," -{-,- Zo.r> &LoaL{ JFr- ti 'Y''1ov€ r F -- ao". [{,o"^ o'1. dcrt a rt reprrrr.,t'z.l d* "| {.3--' c.r a|.,ot,.,. #qt* o,rgt.. t',"ar.t . i^n t-',9."t*del tc ,$ o' .[ko e o" [4-* c] t.6"L 5. A *!3c' *ctn a* : ,48 tsc .la. 6oo = 4,r f-, a *oe fa-p = ae DE ta-.3,.,"- -1" :Lt)! ).+ 2ll: -l-.li -rit:, >L 6= x€ _O f" G :+ Er2o = x€xf,: ? r+2D:3a :? lx: 2p + x=lD^r, .-1.i = xG: t11;r{1i = ro6.o. Ae,ogr.r €l -h"a rJ.' : to.e.r-, ti.ltt ") r-fvay x, = to.o. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 29. . 2-8 fl tove r r le fehl "h l>ur-tlJ 'P.7- = r ''n = *6 +ferftt f et- c-able totoc' : tH''o - aD ,-t6a. lrr +-<le o$ el' q,lnoo^ ,b a"p u[ -lou.,'., -{- o-- -t op ci tril.l'h d=6a" -A"glc "i dep.<rrf--r of- tdro. r, iof + builal"n V= +4' t,cr-ro- l.o"t C o,f,r.,a drrta & .'- eg. e-re''feaL {*.- of {i€"" ^ 1l-"'' CX -- ' :t'.. cD: Dx +xc -LN A ADX tan qs" = of?. ride Lxa) -Ac{j. rtde tex) !' z axc 1<ro 6o" _= -L c_ AX €-a + I 1= I J:. = 'fl(i *,).n_ -Foc.:ro -- =+f,lit r).o. :7 AX = I "o. "^ tnl LD -- : x'+ q-G {- + +, e,'gt"t o'i c,r"t,k- RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 30. Z1' Vfwcn +k,gbt oh I'br,i -Aot.ra = +8.',. -Agte d .teg'.rsio" o|- rl.'g I x -Agla c:h d.,fr?rr;o. + ahf€ z P IE obo,,e Jala & rg-oe.;73 f. j *.". "il {,ft -".e a.r &l-,a,o . LLI D, f a,.c. Le F,,.x e^ ot ,?. t" ':J .o = 6.5. = ,48 "for"r -*-U1n f$ o.e 'b.r Iu.1eJ ,r11. ,'c o JF* ^ J -+. F: 4s c-e. +c.- +5" - +g EL Bc -- .+5 . -O /a C) /- C' '" (rj xt +5 = +5.43 { = isLJ:_) - lr r( f-oicc te F14a.. th."-a I )C .') - +5t.4..) 38. +' Lqr. r _a^ oi fcw, go" - rcB. +5 x-r8c. FE;.=-.lli.'ta-rar| -+df tt+ rJaz,l RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 31. 30. +^3ta e.bt 6'f,;en "b 1rp -Lot oar : 3o'= d " [r ,, o l-,."o. o ! +r;g 6ufttf.? = a""=p. + {o"t -'t"gl" rh {oel of Ttr! abova f'^ 1".,-.'otr",r", d,"fture o,r lhoc.r.r, -4" aAe,D' tc".r lts = -Fo..6o' = Fs> - , . _p". ?+g AD, 5!- 8D 5a 1.< {n 3 "i .'t -tle&bf of to r,-re " = 5D ro.=.48 -tte ."or-,t ol, t'-, i t'l '"-9 = t -ry0 = cD. .7- " ,bFt J, ,'..-o /, il, ( p o[ JLt ,or I tL,- li^"e -- c,r par +- l:.f"] | ;",."._k"& I 1"€,iH- .'h toi l.l,lU = -ra CgD +G.c(: cD BD Tar :d = 4 5o G J-= 6o r rlz rA =59 3 of 't.,,'- 4-o-. tc-'Ed r!" , 6, , r bLrL rd r 44 +y c)6 d"_.^ "h 3.t.,JeJ ajL RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 32. 51. -He ig hr 4.2,e -Ajle 6iwz', bo^ks c,'t.- Do qgpo,r?E ef.1e5, Dr'r l-.a" c<- lxF.ure-, t.'.'ke 6,s-= qe* ,fh. o.bov e, i.{o-..,oht, 11 .,r e g"re r a-f6.1 S +"g*". &i + .t oF .I6c, L;idqe, : 5('-1. f lte)l. Ae-t>.n e *toa g$ L^- O ,a i. .- c( = zo". le, d eq"r err.Ioo o| baola- 2, r'- e p = 4a: le) B.4. .ttL {r'-- ^ r'oghr o"^9l. oh -[-hs i'rcludaJ i[Fa o ll"ot -,o. _{-,t. <ltoof-, 'tJ ( oaz a9 3o- - B' -r. A AF,n J- aAge, -Faop : Ae BeL f""4S = ee_ BBL BB,: fe9 JoG t :<o solG+r) *an <o B,e = AC B,g -3q B,B Sofe m Brg. = ai8+ggn -D,lc to., " Lr kr.r^ | #.o = opf ooil;.,"a. - { I +uincr"l r?& I________:=-_ I h'.^t r = 3DtG r() r{) RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 33. 3. Le l- $c^-,o pot- G a AYe *a. < = AB BX to- 6d - l' - ,q€ a Ag:-.D CD h€ ak U aciu ret +€ ,bh f ' + ' f>i.t tct"c. betcue ea ?ole , BD = 8o .o. kf X !a PP.f Letcr.<,t -lbc -e f'. o,,. 4 -2 - A-,1{a .,, e [r vahfll.' oi *+6 Le d. = La" -A*jle "i ato vaffor o[ co k F =, -" pi irr*. tt pflor {--". Tolz'ao' ='BX''., =x; pir fo-"re "6 3"t 4'o''-' l.,la 4-p =1Dx '^' : i$p-r 'o llv oj:>o,te Aclo & ""P"'*-t"'r ^ I e do'- oi d,!.,''e "'' ^*"-' *-i ,/ l, - i- ',iu' r''""^'rr' t "' 'i i / i Fa l^"t',at" ^€9-j- 9 .F'n f1^"s = c;$x'!-{ iai"^c"-rria'' s^ acxD fon B = C P ' lo -tc,- 3o' - +r go-f, !o-, - 1^,.1f *6J-, = >LJ3. .'-6 '% Ci =2 Bo -x- - x.r: [-G) :> 8o->c = 3x. + t*- 8o + x: 2-D. $- :oG .l.,e ,!r"t "fi g"l ur = 2 o I: 'n ' l> rl tr"ce ob p. I- r fo"-- Folr- :L : > o '"'r Dior-fcr,., c. o$ Pgt f"o'. gole -:- = ao m' g 1- X (€o-2, D +8o-o+-.J RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 34. I I i l--*-*---- ,35 | 33. 4. ,"1r.r of t" , e AC -_ -li A, -,1" rri Jar.',"ri,L -Jv{ {-c'la oh .1aq,,11P6. J!U g,ct b b.re nol, ^ B' 'J -t,"r,,^ I DlP. a ? r )..) 0' ta. 6c" € 8,9 = &q_ B'E B,B = B, 8, -.- B,B 1.e8, 1 -{eaf 4 :6p'. {ezF p = 3po. 20 .o. oI gJ. "b ?"tn c., te L L : Lt,".r1.9. "h o&e" = BrBo = Brstga^ ,q, obcva I Xo_*-,ot,'* ,i q YeFe!€^t€J ,1.. {""". ofr {g6*c Od Al-,or.,o. i. -thr +.,1" , i{ ooe c: oDDc([L atde- JJ =- hc.-b rtdt' 2p_ G, Lo ^F : A{3 8's, fa", :<c. = !,et *, B% = zoG. 29+ zol: = 2o I r,+z'1 {1 ' - l"--lL .13 J = go ,.,. r/3 = Q-@-. 3 :€o G ^tLl+c, "b oll-,",;,olz,. o3]'or i 17- I iJe't of ,"-elu.leJ a€t & 0 RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 35. 3L. . 4l rw€a 0 rle,'4lt rl jtaa,tl-L[ = 1.n= 131 . - ( VU "{e F +-e,'5nt cl tourc" = '.. -- ag. -4.gle rb etc vr"l tin o$ !o-tr;o. o[ {ra3 r badl -A.-qe ob r {e vcrl-r"cn D]i +op "i .t la3 rta[_$ f o'lt "b oka..va F rgte., to- ' p, fi" oto,^e datsa i lrep^ner e.,bed fl -l*.^ of qf ,'g "."e dr al,owo J; ',"9t t a',51" **r"."n3r. Jtrz Frc0utde d ^l?t" '1 r----- --- ---- It,."rs = erori'l-r- rt;, I i -+.rl^ca^t rPan, I fcrocl * 4g A? *zro,:o' = {t A( -Ar= r^,J-3. -6) {-.- @*@ *Je: -h++ *'.lr-]^ =n {{Jr_r ._ I _> q. .i , ra., trl -j vr?, = +r (e+t; = B.r[d. +rr z "1, -l ou-,," - 3'{ (Jr'r>-.v- *= 3oo F = +50. '91 o..,. O -G-. Jr ^-P +L r - r]t+ AP 4r -- A F:r i _^' l--/ I i I I I I i I I I I I I i I I -t,.'!r.r RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 36. z1- Let -Le 1g+r, "t llado,.r t" 'a'- be d. - i5" le .,.r1r, dr l'dot: t-'?t t I c JV o r--d lua ntliFuJe ir 3 = 5o |-t +,eftt,t d -1o.-" Le k taa,I '- 1,rl-,p- :-un attri't crA z = gD' (r x -t a ).o u'lo. t'1"'-., = -18. -.F"*..,fuJ ,P.-f,h-e ct tor,^e tf d."g.."e ,".-' {o..na hote- or Al.pcoo. i^ "'"S^t -1 "'hr3la F e + rr.,e a?31€ Pr s "[[ie o - TL*j,b-4i4s A,Lce"tlt&^ !i. -+ec. -l,," "r : -fo ApB. -Lo-' g = t11-- ' {azr-a"j €r. ld-to^ 3(] = -Vj 2'7! a- L't-t(1 ": t€ -o -tr.4^o -4+. B. ' =4 a' 4) o P., => zxr-h = *'Q + J- C€-{) = 2rt. 'J3*t r?-1 I : 211J3 '.- 't* : >c I J:'ti; .1.elght of -lot"tv - >cL.Iar,)m. ,( . | ...+e.l *=f5" RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 37. t- 3b. I.e t- AS V +4AbF o[ t;oe L po,'nt c cr"d tog -tou cl-,ar $.ro*nal -4.,312 -,a)a l>x %e o==o.. Pf1tra.ra +r-- {oots o$ F'.o. *.e-- Iouch.r. 6vou.r = io..'rFee - .Ap .-ifu o bot,e ' ^(a-no F,"n ' rl J,%u'e dl al"oc"n. O ,he&hl- ol I'ee = r4G: Ac+rB {v : Ac -r- ag t- a"5te "ftrt +xta, iL "* .fi- Pr s irftn LL aF L-( ^ll1 token aF 3oi. t- qzl'.e.e 3t- BrF----_.2rofteA tbear& ^.dft ",...", f6y1 36' = 4C. da' tos:o = 4€l Brc Ac : -!-!l'' .'), G .13 - tn =- -g'L Btc = !,o m. e = .!-L r- r', (3 .fe = 3o - roG. G -Ag = CA tagt Jo.o = opr:<rri F alde 'Aclt"ctc ant sr"de +,e ftl r tb -1"2" = l oG rn. i I I I I I I RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 38. .5.l-. Lc.{ tr1 -A€tn si.6 = te B(: *re t'q h I 0 38. -r-'aPBht +nte 4n, Sir to"ce 'tfu &bara {,"0** 0! f- lghr ob c.lble co-rrctzJ to Lat(oo., 'f fqr t Sa Fr?- of c -r1. r.rtJq = Zttr,,lad CYoL{.,d = r.6'm = -'4g, r( - 6oo' lleftbt ofr Lcrtf co1 {'o.n 6ranod ,[C1 crbore dala Pt { {?-"" or 'thcLlJo' J- :rl9 r. F t'-"c."5 t. i. cf ul e a oo3le ir s 3 {"..^ "r- -7rv^1ad g lU".-" o.€ "h .6en => 9- $- + 4"= _ Zt5 4 F,attooo *,"-^ 0F 'trft = Bo-o = "rB o[ elcvah'm {,o.., r4o.] J_, cr : o[ at-tvnhntrr .J-.r.., Man:, B : Lttt^:e,e- *.co mel - M,Mr. : AMr t 8F42, , l";[o.-..a t-,oco f, wepve re.rteJ {hoc,ro , oogta t-.ocr,rglc sba o|, Ol.e o.'.'21e ,i o .[{eo 1!g = lo4.5t:.n 2J flroctoJ : lo"i.5.& "r_ 3so" lvr1 6e lv,J 3q *&o = "tf*f trtoE .roo* it-, *",d. 1 {a.{fil RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 39. 40.I foo or = *Ln., 3c" = M1B = ta^p .* fc,6o": 8I,4,_ : 4u BH- g! BM- go .J3 8o.fe r go _ Aox a_ {3 fg = iie€ "*tr;.r,3 3q. ler leQxr ob pote. ='-{-'..' : z,r-tr'r a[bttud. $,.,_,, ground, Ie.,g+t, t:b ,cl-ad or-. ba '-L' Xivr" trr.al- -L - t-. 4s_ MB So MrB 8o-B M'h,L = Mrg+ BNa, = D,lFo.ce bnh,-lee", noeo +*A" "i e0e vcrh"-' lfu o-Lo"" dort a & ob {,"3-* zlJ d hoc*o, taoe = 48 BL cf -c..1 athglcda be rcp-rereoled F, (o*^- :- 32.6 .6 e. r,Av .1. -iq F +*"^..Sle &{ ,,,e_ "f i-c[ndeda.6te&oTLeo pfFcuYlt,tide I -t-ft1'a c €-t llA e J :| *ct.,€r : :L {. _/ -rnnF __ _Q t" +rr. f] :* O= +a# l) s4go. ch {rL..r altrAtrde & Jeo,-4.oVIt RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 40. An.I i -r :Ann le {l -As ob ob Le trL,e LLatLA P--a . clr va hoq, {,'-- 1Jr^- F I F,q ( *6 t,.r,.. r] eLtvoft"o.r *,o-, por% l- q I Fi.re. _< Fa l-,.o1 >J q = bo". F=4;1 D ir Fct.'tce te h-.,e<o F,?alt-oria* FeL = Zok-.r. 'I[, o,Lo,te ron {o,.^ah'o., & reg"ercnt-ed ff tj ".-""' "b -{ i6."c 01 r hog.,.-; ]i -pr +.'atu q w "'b JR. "?. 8ce ,I[po X to. a = .,4s A?. L&.6o : 4A *" Ar = 4B v-e O"O + : -ag /t*-,|-e. ,f2.) AB = zo (z (,c -r I -A.rAQ = ft_ a,a 20= -€(]ri+) + .<l-,o utd dz^d i l-{ Y.-r2, L.-,. to-p = *n-.-1s" AQ= AB AE Aq Aa= i;$"* = ro.r3(J3-J) =,p(3-Jg lle = lre . tc,l3_f,3) : 16(3-r"+321 = |z.6tL-n = lO^ O.-r3,- :. W, +"32,L,.= ro (.t-r){s € Slah'{:rr a +n -kavet f e o.- zl.-d {r; , ,.', !,a *c +t. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 41. +1. fhr'ght + rhip f"-"., rtzot?., .!-evet : lpro = -Ag^ -tlr'te 4 ele vcrhoeq "[ *"f "b .linh o( = tg:-?+"A1" !b dtp'.rct"r:^ 5 6.16-- of (t.f-6$, A =_ 3d, l'ef6r't "l ct3$f 'co = 'r'm. J.'iLa"ce, "t- rl",'1' -F.o-^ +*F .f t-q:e'. c-t.1F. ne,ir"r .l ,(,'-$i "[.^:l? ,_>..---itrieo -1"e..",.r- -b cr,'ix- = p1+ra _l >:o-_- 00-rarrn I c )4'o-l : aloou, do+" fc ,r7,era-t.A l_----' , ' ': d.* "l d.ii',,. ot tlow^. D---------:i3 -?,", ,r!lr +-"ci.6le, f{' ,r.," cb {Fa r".ctu4s.{ ang rL & e . .rr-o. f*=;- rFtslE;-Ad.'aeu "Frid. -Lta^ +t" - Cr AA l: a AX Ax ' ' 41' ".t *n. 35. = xp Ax. -L = ro v3 Ax Ax - r o,,lE L. - rtJ?.o. o[ ctr'1[ - lor-ro-e = otJ1tD.D. f-rF..rr^ _+ f-1- e rtP65 = rce.o. Jv,%'.t a) d fi t a,"ce t)- RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 42. +3'1 -i--- 142 ir i+ l l+I lorI l** l +2. -t-|e .!rr r1"6la 4'xylc +l-etht D&hr"c" +le it3hF +''llht,r Jq! .l. tre., "b rhfp aLove u:,iiu tevcL = 8.r' = '48. of etev-h""h "F ++ * ctffit+rtr1 a.26r" . of -lzp-tr.oter o6 kf,to",> c'f l"ft{ =- cD tr h'"eto {t"rop & }'itl = AK. rt 4?Lt a tove- r;'og = C_x:'Ar-n ob hirr = krrg) ..,. l,ftt g= 3Y. *a. p = xp A,r(. tCtn3o : g 4" Ax = eJ: C X tt6ov- de*a F,L ,reyerc,:ie) 4o-- o$ dfqc,.... ar tlrltu",^ ftrr+;u6u ."f c.p, "$ r'oc tutdad a"6lc- 8-r o tc".. x = 4^ -fcr,-r oo' AX -arr. AX. A {-s -Q= ",3 8Q 9 .r= 2.1 -o. A( = 8G.n +,ef6r,t ch otf1tr'9@^r"9 - -Dl ttt"ce l.ra Fr.rt c^, 'h?tr e <hP6 = 8.f:'o RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 43. :4gte of &p'"srio- "fi tf of te ".pte z, J-e fo hr ol tv lc-.,ela r [$e) = co -.I- ot t"n-"- "b z CcD = r"r.,,^i $o = rr, .a. Y eF-' er e.l-zd a! rl-'q-.r). c o.ra ol- l, , l,] -- d'Fe o D * = 3oo. F= ed-+.de o[- d aPvesr rqc"r -hefnrr crh t..^dz l^lfd +'. sh #ve., E 'ffu otbore- datFcr & ,i {o'--" of {,96*'" 3" -,"grt -*1. ft L t ata r( : 'lc,r 3o LA AI C,X " "= tZCx. = Ax.[i. Al("tl = -> cD= l,J icllt, 4.,%trt- E(e XB: of- ot 48- Ax t..-pL i loa =:-|-o :6-r-') 3 - 5o- Ee 3 AX 50 {) loo -1 te-ytz z, fict u 6 a3 ag"le ,1 s, f&., s = t:P po{flL- t?&. "4djac e"ts < Pde *ctr g : 4g BD -tar 6q," : g6 Ct cx:5c)----E- v< F=ao' 4^t.e gD = dx, (]D > gd, l 4.1 . RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 44. +4. I,ef -Ae'5rgj2..,3 +raqctt.J 4'o ",-. A -!a A.r3le oi etrvaF,$q ob ?oP-l A d. = -Aoqla "b r Lvo troczo o| ge,? f e J"ei3l.r o[ ae"opla..re. $.,- 6,.,"-J =_ D&|o,nce {-"6-wetlcd #- tg recr:48-pa. 6cl?0-.t;;e!. Ai. -_ ge B.? +29 t q .4 ec(. '13 : t+Lt ._0n, "t &"4ln velocl! (o- r -rpecJ = -lSrt-n-ca -o v. rt-; 1t"^.,. &bov< c{a $a r! vegvalr-1t'e6( 3 lo'.-. <,hr-. ar {Lorr',. .,.h;t I .r'2,-^ qlr c>e .l yl a -.1 J l) (t O "![^, *.'-ts = og?.?tr 4&9 -{a ce ^t-riaa *o-- < = AR XF .la- 4e" = XP= 3Q. = Ayeed - Sooo xe 3DOO.,-r) x q - xr FA 3". i.,.tel +o-p = 3q xq ta^ 3d = 36rp9 xq. xq = 3ooDG 5OoDL/31) rir Sooo LJ3 -l) - l5 - zcox o.-1 .). rqa. 1 ""lL<. 2oo CO3r) /,yec) 'b -*e'o;fo... = t+a.+ -.A.._ +e RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 45. 4t. I'e r *^gla 4,13te -4,'oea^c l.avatte) -{' Dfi 4 +o g ,t et+valrbpo. ol pogt A = u" at-a va LtL- oh PoP^t R " 4 g t,.h "i -6D FQ. A$* "h itAc n =1- 6,"., rle -Fo^F = BC xQ la" sd= t xq xQ=€L-n = JE-r= z u3 ,f3 -t "l lo r 6ox6r> zo{-z = 4B v.,-. -- Z'fz x bax y Y L^" lt . 4"&t"r €b ae'o3a.re {*o"o ?x-Du'f, = t L'n .D&Fo*" -t:-atzatlcd P" to LL( = .ape e.t -- .} ter l.a oce -+-.ave tt e.l /-l,Le . JFJ alxn " dat-c' t% r76ra,-,f221 { Pq",'. ou r hcu.-r.r ' 5" -,!1xt +.le, ,"tr o'e '-[Ec rsocluded o-rqlc '1 o., o- oFpcfF riq4s -Aajac e"h siJc- faov = Ap ,PX -fa,-r 6c)- = A P; Px= PQ -- xe -ex f-peLd = ,Pq -lP.oe fee.{ -&*oylon" = zrro6 L" Fl'. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 46. '*B = 4,ePg+ o$- to.,:.'" -- so"o. c)^e- + F.,cl..Ja4 *a" < = A^ Lx. ta^ 4" = AX CX Ax = 6-1. .LLA^F= *o- 6o' gD -^LA & cD = g(. +e BD =5o BD 5o .4 Ax = ';n = -r). : gD. !1 cD: 'q8- Ax ,- Eo- 5p a = 59te re) .?- 5!C&:p JG +'e..!1t"r bi ra,t. " DF bt-uld.q.,? tpol"l = $(: _.i11".'r tel'r.,'e-"-, pota !. *oL,:r. : fq ,-.. ^ cr,: t"zrlrr an V-Va.",fuLpae) -A"3le o!- .leg-<rtro^ '/odt( $ Jep.zrrt*e., tJ' r,.brtze dato- & { fr*'. al sLa'oo il-, ,*!;r +-Po^6t" o.rX re P-c o .Feo d *"f .f Lna,."6 N.=11". 'b tptl.'.- "b t'-?u-t'-U p = ed. .oF..r..,t.d ,"..., 6o 4 p----, oh l+"^" -- *"*tt- rltT I 8."',-lr-l RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 47. t+ 'D lr hr',ce &fc.ez. *< cet = Oo.n. Ceol. +"Ehf o[ ^LLE)a] tye,c, = 80 -.-',. tcDl 1"; {e.'ghr o$- F&rr +-e-" ='l-'"- LaB] n.gt. o[ JeSr e-lr fo-, f." r-c.,"} t*."- top ioy a = ft*' =$fL a,,rsve r,o^ {o -.-abfoo & t"p"e'e -teA B Ctl {houoo. t =,!c.r +-,}.,Ut. 16 o^. $ Jk r.Xc(uded a,t 14 $e Grv Ln^O : cPPol' Lc lt.le, "A{io c-e-Fr ide-' .'tort C* I Ag, Cx _ BD = 6D-n. x.B = cD = AB_aX, to^ ". = _Ax C^ I -ra^ 4s"= AX :> A(:6D.q. Lh Kg -- CD = SB-R{ : go -to :: Lo rn fu;- 4:".s r,.. {*- oh t,3q I .. I at I I J=. ".!,lr ar jgt,t &om 2D.o- $ + Jt-co",d t*ee = tY.* tee- = RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 48. tc. Ab Le fbe, ttee b'o^ -{-ro- d&ha .'ca '@' .., 4o.' ( eoi h ., trhr Ine. f"al uJel atqle- f,L o." D 14e d"",-, Ax+ Qa, *a., < = Ax t-x Ax atb a .A colB r *e) F-+t# qi AX x+t. ).1 t, Fx .{z t e^ T J-^ cDtF = ft& aDt ( I j[+& IC.T L : A)( coF,( 6*O =) -t6; * f:c+at - ^r cr)tp - Ax.otr. Ax = lb-or to-<, ta^e l;_r-^F* a?ee- ,--A.ogte of e-tr1oq.'.',, -+.q le- ofi e Lr.lau"c,,, ,9, .Gr, ItLo l*- x aF ?oBt r. d & ta"ca ,b, .., 1-c,- X"e"- Le p at- pol.,Fq. a-bove- do,,fa & .'-eg"e.Le-'lad P h {.tA*"" o.r rhg,(,re. .rb!.r +-f,-"?r! t FHo eBF> a,<-{ X +7. DPPDTf L- dfde -4d fo. c a^t r Pa. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 49. +lerhbt- "h verFfc.a[ toure- -Angla "fr e[ewahL 'b -bf -4€1. ofi eL t -h't " o$- top frv, abw. ,1{o.-o kq.l ,} iiT*"e 0r. lhc.,o.r, i4 "!r"r +-,Lgt., o." o[ L9-aludeJ c.nlL .!' s, fu"v b'cr co Ay _l pe. , qa = (eq -!-I Or 45" - _a r. ^Y Ae = .4y -/ rbr-+o =Ay. Lr = Pe. {ro-o X, o( = !oo. *.+-" y 14"-. a[,ove, *) , P -- 4so. -t 1'r €1e -t,'J P. +.'_ o h X .-4r) - +o.go" = Ig Pr. Pr= bn G P0-+o=pc € Pqt€l) = +oJ3. zD€LG+r) -. zoL3t .^3), 2oL_: rrg) ..,. r 4.,0 -_ oppol'LL Jld. ta-Le.tf ltda . RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 50. lo. Lc F c-lc crJ be- cr l- -l-.,e ."gt-t- .j""-, lat<. "levc[. F.r". porb^l { 2ioo.ot-r I of-' ctavoh'."- of, +ry 'f -+-6le- ob /ep'e<f"- ofi- $e". Pe - tre' d-.n- .,q,.1 -Lpq. Jel AO.'f .- Ap.,z'-. y PQ . lhr >)-.' pq'=6*,.,-rrj ? otove , dat-a ,? t"p,.^r^rcl {r^ <--', oD X'b"". ar (Fawn 5:^ -b0..,r +",h^At. on5t'. &e ntr* fan rso = Aq ^Y Pq crloo'.,. cloc' J !c.Ao,,-, 3".13L -Ga -tcr k c x=t59 ty€t kc A)e r.; ,_.nt^. c.1te- :) u26g= +, "Y-)aLr-t,l_-r) i--.,ee #,^A xO $ . -- 'L*:- =) o.lA8 + { o"4<'-- 4_e' = Ac*pp' AY _^Y * Aty = >.-.r C brx) : +r z7_. + aY = g+,>x ._@-o *L' = >x 5_oo o_ =2 -igl >scD t I3(r.83)-. I i ! 1 I I A.r-, r630.83tat2qon 43oo. g"'" - i I I i : I ! i I I I I wep.ere-,tzJ r "l-'efgnr o $ a to uJ a.bova la bc RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 51. Let x be, fo,%1 ,1,, .., e t+er -A-qle rl rL'.nlrbe^ o{ ,louJ,J v " -t) ,A- ri' ri Jer.err,"o., ol rrocrclrt$ -f,aiglr 4 r l'..d {-o-", 0r.kq- Pe' Le IFa -€flectpon t6n clo.,,-.-, xA -LPg, , Ae =,r,..,, D'il o^.. dl) rrottJ {'*v rs xQ, ta^ x = O -o :-z L u-^F- to.,n = 21, l! A," q Cas c( = dqFa & vcgrcr <-^,tzd ,: 4.-* + d Jgu"c 5o 1d1q r .L L.rsP : 3Qr e. +-'P = l-+ >t th 'B -. P orLove- ,Lake- {woco y_ : (. * eltc cl-,"o.r 3" .!-ate" 'p. -FQ. Pe' = pe AF =xt1 * tq,-. g'f.t $ oLre,rr,^ott$.-. Ax- 2l .to" F - l-o.a. 'tEL abovc At l,L, q-, n. i- aAe* .t ,-"x = {-Q_ A{. Qr = a< r( -{D <D ,41 ln Ai- xQ XQ ABc x : -21, Au x *o-p_ to^,r. rh cloua -f,.o- gop"r "f oke.',a,hL : t-'raca /to"B- lonV. 4,1t0.,,.. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 52. 53. 5r. Ur *k ra t. +. 'L Ll Dl aer"D * roltac€ ! te tc_wo -.,ttc I Fo.rr or Jfu acvoplala. XY = t ywila. -A.gte eb cleg;e rr ic," ob K -ir.o- F ' x. ,Aoqla oh .1e;'err '*'" ti Y 4""" t -- p .fFi above da t-a- & "reE*zce"'teJ P" <o-- c,h d .fr*". ar t hou,:o ' 5., vrir'r 1.'ia-"31", i-6 (!),rO ."1 t, ( ltvleA oagr. r q G) tc,. g = cr-'p,lflti] 'rlJ.-1-# #jac.-t-s2L. -tY o.ri opr.orii,z-ll t-ou'J. liifa + -Ll+..€J . -r^ -a Px Q I Ct^ ,< -- XQ= D.L .fi"^ I ,r. pA y -ta p = ro aY qY = Pq. +,'"P !Y - Fq F& XQ, iq _t YQ r 6Y = PQ " !A ? *a,.a f-F PA rq l+gd-P-lL +o.,... t-pJ = _1C.l4- l a"F_ to'a .r b-r- p ob ae ^'oglzroa = 4.^.: t ^.E ,--? ln" lan< + fur"p 1.'" P -l^,e,%t't(j RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 53. 54 E-A - -o--- nA; pr. * l^,,"gr^r- .r *e -A^gle- cr$- e t"va tic"- -f -A.-qla ot= c L"yo Ffo-, ot &. a[r,'," L q*.-,.af Pr" r1 {J6".ve dJ ALot:o, - - r)DDri ( i L! .lL de " -) !- *liac e"t- eia.. C- v.'gr"l +.Jc'"gle h &€ ob 3, c [uJ eJ o"1t fr ,s , .Ifu * 'i -toL-r". +e,bht_ B '4-c'". P="4 I 4,o- c =F. "'.fY cr€.-t ed I {,r-*., o}- P QX. +B 4e Qx. D'ao $x -! -AB 54 t@{ fo,"p = Bx , 7q: A-t,4r= --t-r A BFA tan<= = A6-a . AE | - r.}nB o- tan 4 -ttrrr r{ -ta. Qx + to"p= 4 8- ,4x Qx. 916"13 . *R -a ^| _ -{rl Qa. e=r ID 'aF a= AB -l'e,it"r ob DIr Fo.rcn t{* l-A 4e .t rola -h^a- ----- ---- 1 tr. < . e>r:49 = ta"x o ta. x *14^p po." = o**ltF.,.^r_r"^u; porF ! tor.'zr . .lf t*.",{ -lonF), RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 54. 51, Lef {e N4 .i-aAde, '".i+i-U 1 ah d fo fi'rou"d' r".ctP.ol-.tr- l!i',e..' f k {oot. ft 1xrtldJ ffiiesgl- J&t-a"c<- 'cJ lc F BBI - hl .o c.,rJ Aal = 't '-o Dec., a,"6lc of z Lvze Froo" S' '''" et = P' {. aLorc, r% {o"".,oFrqo.' & n- eg' esc^tcd qf sq u<e aJ {oc.,o Lel Ae_I A<ou'n A'?=* BP= f- aaee' S;n c{ = -o CO.go( g a rie'e E -o r% tro"..- oh Ag = atet L de 'd _l Jt"^g = A? * ci^g r :r- _6,I A'B t Ag ) cor p = B'P :? cl]( ts = ,j *S _@ " -FB' ' +ne si-',a. g+ AB Cose( = -!-Ag sinx-s,%g = t. AB. cosg - colca = 4-, Aa'. co!E: 's{_ = a 3,?'a -Irbn p t AP- Ae' =gAB o*o @-o /= -e, -@ @.R e-/ Co{o( - aa{ b Srr)p - Jl; d + RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 55. 55' LcF Acr!7ht c$ *t..1.' b" 'l-,'.n.: Pe, *oVie o! e Lewcr lL"o.' crF loEF A o-' 6".oe.-J l-e I B k Tef'L 't ''.', aLo'e' '!r;e A' a^61e, o$ Jegv e-cr r'cre o[ -$o-t- o[ -to'"'v Jft:r- crLo, " dc,fc' tt r7 erenfal e' 'f-'-"'. a! I Aou'^,. j".t.o Bx I pe. *" ". {,"7.-"".-.' T'? - ax- b-.,-lrt A. FBd r^ -AgBx lana . 3p ^ 1..r^8, @:- BY("I O*'_O -tr6rr, o e,: p. ob' n.V,' " o @ 56. t""F =rQ QX Sx-tg11 -- PQ" ll(r- Lo..6a..,rl^ -.-FrcrnF .A e 'ocl c -t() -l) 1oare. = B. tc,^... r rrbp. itaf3t"r c{ ob{"",ra, = AB = r.s.,.. fi2,6i-'r Dh tor.,e -r = pq, = Bo.-. +,e J6l-, r o[ +oux" oAowe JFe, otce-,,ro D & i o,-'re, te lc,,ea.., tocoe,. & e Le orgtc ,fi et-t.-t''o-r of Sli alore- daha 11 vepere.tr:J ft {o'- o}- ff?- ". {hqrn J...- {J? tcr.,o = ofporil,- riae A$oce^F cide ot'r. t ,r, -, e1e : 3D -l g Qv - zs,s.". xB- = z*9.5..-'. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 56. to^ e = 2g.s 4d, Bc: J-r-?+i, 5#,0,r'= 4g .+ BL =I'99-16.'t6';= 1{.. q{' a :-i.f * sl..,a+fa-, = flo 5t L. r -ou l>z hc fgtt lan ,1 foct ErJ 6a" Let. P *Q te e4u zzL Jtse aLcve, r'- {o-..at-Po- { r'gr*" *-l t[-oc.ro. e[ rFe-l = t.s..:. q,ita. ?*oL.--j. .1f a-, cl 9r l,E",c-o -tt-e-( 4p = f).E .o , A6?:16. 1L vag-er.^1,..1 g 1.,..,ob,e d..o., ?x s- 1,4 / QZIA A, -!.eq ( !5 BU rf.3. -n. I xq LCA, zktJU SL". b3 = ZtA LV cz : 'J-- ./:, cz -- L.6q'+ .r,. ol' u J:= t a r.5 15,.L __ (3 #% eo" = x11 {L. =) {c = 9:5, Eazl = /.lE v I [T/ 3 v-3 % l. 4 D'l -l .n. For bo1 r. Ie"r ol rF..'^? rs = roo r.. -Y' mcrde t.4 tl-iU Fo' bX. -h*hF 'b L-?(ct'-? / ta't 6oa J I i ffoLod = 6<"- 3cr' CD RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 57. le- "r,oJ z. ty ri--'.lX c-.rf tr', b..fta,%? -+o? F-- 4"' Ie .144, kf lt ,fq--.zal eh Fiht .r'ee t- rnt'gts ffiL rrLauu P''$o".arlo" S ) l'z''"t o! rL'oe'-'^ 0 d'a.., BxI Ac, 'y'D+ eL 3.^ dA6x -Lo. go' = Bx *t' '1 t. 'og" 'r€ FY!1e.,'h.{ g to+h Iq!, <"-- .b 6C. D 5'4 <I] = BY= 5)" / gvo i." ?F,4 'i le,"Ahl o! fo".,.o he,"gt'f of l'ttt Ax. A B* =) _: -_ B* + Bx -_ Bu",r ^B ' )- loo B) ._ XY = 5o- tg.n -- ..D4,. .,(,?-' 4s" = BY eP t - 40_ t gD = 4oJ-2.n. ,t> -E; nl $L' e aJ oa s+,,"^4 "l Lqt - 4<tb ,. "l (l/( .A2, CD 5o "o l-,,.o . tor*ogle o[ abvoFP6n oI ob litr +""n f.oi of 1o",,.' -A^q l" o L (U P - ao"' ,b -lr,F. of toe"." &,^" *-.t 4 '{o {e'--a+,"o., & e {. " <,t f''or ,fFe aLova 1k.". ^a I I ?i- I I lo-l,n oer.ere^,teJ ,". fu,_ ,J- RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 58. f'o- +,"A, 5- a +ec_ *o.3o"= og,p, - aaj .!= ss * B13 Bc 9. a ecp -L* 6o' .. itg = -harirr "b {a w c = s-oJt. !Pg'= qlz =etat Bc E{"l3. 9r =; SD.l3 -+lr'tr CrJ = 5ox3= iSO., E , !-o"r. t{ts Sr t" toat- -a a^d g. & boaf, 1 . l^'"f6u.r + -L,!qr.'t -l-our c =rh,.o = _€. D fll-o.'ce tu ft.r."., 8,6.. = l0oo. 4aV1e + alr vcr Fr"* rb * {-o- B, ar : Joo. -A-1le $ el,+vatfic., "i A &"- q, F=+d alave ,o.l 4"-..".,of-"* er '!re {o".- "b *Je* ,thr fo ,u€ ' e t^ 1o" so' - grB - ?- A +aq o"@ a +eef ADP. - o{ "& aa./"3 . !, 13 --- O *o,-,{9o = 49 + ll Bq qS f BB{ : +1G rL -"F...r." kJ o,t Ll,ow., = 8e -,4 RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 59. :) B,B" = "511'. *', d= GrB, _ too €l- t Ji't t x G-t €r = loo({3-r) -_ sot.r3 -r) L .l' e ,oql" l- o{ J '%l- I -hor, tp = E ol G -,) ..,h -lI -le,"3i.t 4 l.".?ta.'= -dB= 6om. Jnefghr ol "[o-."p f,,c,{ f cb = h.o. ,A"2re oh .teg'euPo." $ fop o[ tcr-^g 3o_rt aop oh bufra,%X < -_ ioo -*n2le oh -{e3yelrrod ob totlo- ofi to-6 .1or r 1op oh turldr^? ,p = ai il"{ a}ow ,t^ {o.,*alp' 6r" ti regr e1a,..,1s.1 ,% of f '"6u '" a( Jhou:o d. ctt r .bx I AG , Dx = AL, cD =a^. i]^ A eox +orrd = ofr = B( "{ bx |o.' :d = 6o*cr DX., Ao-h AL c -- (Ao -h) f: -.'. -O ' +a.F = 4s > +a. Ao" AL _tr t, 'l) +etz.' mz {o,-" Oo 'l3 = 6o AC 2o.ls.o. :> AC- --@ RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 60. {""-Ot@ *l efgt,r q& s, "4-gl. 'A.3te "r al orr*r e J d 9r Fct-"- of &hove $ ' 6 '.'-e a Agst I l6o-r,)G = zoJa 6o-l-, : lo =2 [ - 4orn . +efet f o$ la'-p pot F =+a'a' D& fd,-r" be F,-r,e"., Ia^p gorFl L*rftd,?< Ac--- zo'[i m > f{42-<<.'ce LeYt^.12a a l-<-"g6i:t D|1 L&ild.""q '< t&Y Foar-' = Bx -- 60-+ = 6D- +o = LDd)' oh .-[r'4xl }'ou--Le, = 'l-r' '-e l-rcs. ta tu.6 rhi3_r bo opp or?li -rPltr t. tqY^nat1 156 (]l ar rt-,oL-co. =&b ok I!hF l.oLtre v- .-tlg{r+ +'oure :o! Jeg''elrr'o.-' ob ", +.- +"p ob ole o[ deg.av r'cn .'f -t, *..,- ts-p o[ .tr,!l.t loL41= -kr yvolra 16a l- Eetau', rt Ppr = ht+g51_@ .,',tCot. fe.a-ta-E r e1^, r s.a ^1 c.{ '6^ J-}' ( {oi-.Jir- lo pfP. *!- h =Aes,E _(DSrB = fo.a RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 61. l. a ABs)_ +'a.p = aA => Bg, = h -OB, *"^P Ao@ 9 Bs{+Bs} = h * l,., {a^., .;-,.p r-- F 68. He ighF ct4 c2 Le -An3la D I -Aogia "b ' ''s. = h{#-;,1 = tt++=:_@p to^" 1a- p Dr"r lo-c c- teiur..' ahipr = L,ffa.e - 6o.L.:u). f tranEf . rncfyzl. tb4_ tc,^F o| tou,x " "46 - fD mt( . *qx> c-an tRr' aLowe {'b*'" o-( ?-., ^ Aec, **F cle p't.rr'"oo o$ dep..errfc.r ol, be'F.'te en Co-t ,i0 l-1o-rnali cr-) -llr o rrro . e, *. o.-, *og o$ 1oc,.,r.r x = Zo" q -i.-.- +of -b -{oLo.- F =e6:. ct ct- . ft -nf.,"^tul P" fo-.- oh = oFP.: 4q .dj gL- to, eci _ !q Rt' Ra- = 5D !2 l^ AAat J- ,.-"-t Lcln r< : ^t3*,, l- Lo. 3o" . _g = ) E., c,l . g(.- p( - noG- Bq = 50€ so rfe t e-a ..Jg S =se1 1{ - so/ .3-{ 1 =L{-t, $.r. -t. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 62. D,1 ta.ce P & to.,c e betc'se<n c,aw ciq_ = log ^13 ,vrE: 3 "h ca-1 +yo.y1 loe,;,"n = SoG.^F. o!- ca' 1 *,o. {or., uo = qb/J^ .r^k' 6+. ' +h,&hF of torc*" +tefsht ob yatL -+€h ob etr.rcrhppo -Ange o[ e Lcwa Froco $ Jf, aLs'e datc. fu -cLot ro Dtanp AX -L CD *o= 46- too,t X A = og' J^ ALXA. Yef>r.Le^+eJ 9. aca,. fa.,,6 = cx ", td^ 3cf = Cx De' = be- cxc *o- p = co * b6 *o loo't- c, x bA ta,",1r " -- toot a*'=) Dg. lootLr = c-)cJ3 cx = 5o (Ji r_r) o$ t ftr = looJ- EoC.rsr-D De = roDi-cx .*€ cx {Ji- r) =roo. L,. = OD .^ -___- x !:<rt A-t ,.fi, r J'-,-@ +@ -l","gt"t .*€ = I oo.n. Cp =' L,r.o. o[1 tog o[ -oct *"o^" +rp ofi toc,rc, q= s6. F? 'b -ocb {*,:.o toro.. o(; +oc-c, P=+t"' {* "b {t"^. = r so [3 r Ji) yy!-^ RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 63. 66. 4+e&+ "$ J.!ht '.L,o,re 4 . r5o n,rE. "le I {,+ I, ta +*o -,L&l a3p'. oac hrD^3 €a.h o+hc'' -/roqe rf depxtur"oo "b ", 1= 3D" - 1.( .rcprere-ha.{ J ,t *". drt -t houol'Gc {o'-., pb r. n t&9_ ta'.e - ae t|q ron 4K"= !!q Bg" R! > I (ona 66 ' ** ".iil.,* +1 e.qh I -,.€e r:k -Ajle rb IF4 o,bcn't 1tq *'. at .C. a Ata 21,{Bc7 -la,. a = 4G &cr t&i 30" - tSo ;; ')r : l9oJt nt. of tou:e.r = AB: 8.6. "b Flag rr.r$f gc- _ r [, ,.ys. clu".ft"o. ub- +"t "b eLv-rf-.- $ taa.6 daira S "ep".-iu_.,taJ 6F= = 5... "r,tI .g 1e 11nqle of clcprer.rioo -fr ", F = 4e D &Fo-.. te Ft',< co -rl"1og .-[F, oL,q-,e "lata fo g I 3' = e! - B-r, = lso tJe -1) ",^tT D& fo..t., !'eF.o<<n _rU, ft_r = l.o1.ft-*i ) (ta?(LaIh tr.ffF-bb E{* a( = 6o9 F' 45". l'}.; 1 ! 't'- e= +e 6 at, RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 64. 5. a'151 , .|,e,!t r 61 . +l ea'flht kF 7oP^b p",0. t o 3'"*+" "i, F ] 01ur? ed tu Ifu aLpv" O-l (hocoo. C. aAsL) f^ a 4e, ...arffpty- O*@ tana - ,{c. Ap tarr 6d= &"e. = AI) Ltg "h q- r": = trgr h r-r. 9.& "+ h = scJ-ett = 9,r p.1g > = 3.LrMh - -t Ia3r|" bh :3.6-cMt. pYov. *{'ar h = 6..,.h . daha. & v1'ertntz.l ,l- 6o {e'"- "}- (,b"" la^x= AB k. la^"r = b 1 b"p= 4s = h t ,3'n.--l eD1 *"^ (qo- /) = l, 3 o loacr ,+B = 'd'.,.tt. c LL 4-k $.o"" B , -,{.gte + e tevatrL i' < Lr I '.h $o.o. B, -&o2ra "i et".rot3o. t p. a'r? to'n7le-'.,l..-t4 . ,(+F - ?o" :> F = 1b"-d. h= qthtc_@ l^,<h= 1fc.^,c x g coFa = 36 .Ctao<. cof*) hz = 3s n= '/:6 = 6-6. 4 tou:."r = 4.."|;'. RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in
  • 65. .68- +tr-t!1t.'r l-el q* q 4..'la ol 0l/ -4.nle r[ .i.'....hf aLoe oL.thqr4, g 4 Aa{ -:L^ "b l,frlf, Lo-.r" ,+s ='1,'."rrt;,,. te ohfu d&to,-re te l.,:ea., {hft{ !,1_ deg".,<,%r, "l {, &. sr! ? zer,,^. c{eg"csr$" oi r_, 16 = +{. dat-o ft r3'ae"lzd f^ {o* ob e.,-" *o",e = AB I _:- r{L uan 15o = h Bsr- --.=h-_{D A 433, *or, < - l8 g!r tz1^ Scf = 4 AgL = 2 oo [Jg+,; '= Rs+ = h(i .._-@ Bs, -es_. = ;,6;i_, aoo = h(e_r_) |r = 20." ,l j 3-t I fci Gii h = too (t..r31 ,,; . 2 i j.2 Mh. +e.fgut- Dt- .tfgt l L'o.ue = ,t3, dk. t oo (J"s r ,J .ra L RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in RD Sharma Class 10 Solutions Applications of Trigonometry www.LearnCBSE.in LearnC BSE.in LearnC BSE.in