Notes on 8-4

1. TANGENT RATIO
CHAPTER 8
Section 4
Jim Smith JCHS
3108.4.47

2. A
B C
HYPOTENUSE
LEG
LEG

3. A
B C
10
6
8
Find the opposite and adjacent
Legs for <A and <C

4. 4
3
5
X
Y
Z
Find the opposite and
adjacent Legs
for <X and <Y

5. TANGENT =
OPPOSITE LEG
ADJACENT LEG

6. A
B C
24
7
25
TAN OF A =
7
24

7. A
B C
24
7
25
24
7
TAN OF C =

8. USING THE TANGENT RATIO
X
6
55
OPP
ADJ
3) X = 8.56 or 8.6
1) TAN OF 55 =
X
6
1
2) 1.4281 = X
6

9. 2.7474 X
2.7474
70
18
x
OPP
ADJ
1) TAN OF 70 =
3)
4) X = 6.6
18
X
18
X
2.7474
=
2)
18
=
1
2.7474

10. 3
X
43
1) 2)
18
X
27
3)
7 X
39
4)
13 X
55

11. 1) TAN 43 = 3 / X
.9325 = 3 / X
.9325 X = 3
X = 3.2
2) TAN 18 = X / 27
.3249 = X / 27
X = 8.8
3) TAN 39 = X / 7
.8097 = X / 7
X = 5.7
4) TAN 55 = 13 / X
1.4281 = 13 / X
1.4281 X = 13
X = 9.1

12. REMEMBER
SET CALCULATORS TO
DEGREES
SHOW ALL STEPS
TAN RATIOS TO 4 DECIMAL
PLACES
ROUND ANSWERS TO 1
DECIMAL PLACE