5. 3. Two oranges on a tree are respectively 1.8 m and 3 m above the ground, and 1.2 m and 2.1 m from a 0.3
m thick wall, but on the opposite sides of it. The distance between the oranges, measured along the ground
and parallel to the wall is 2.7 m. Determine the real distance between the oranges.
g l
GR
EL
locus of a’
1.8
locus of b’
3
locus of a
2.1
locus of b
2.1
A B
2.7
a’
a
b’
b1
b
b1’
Scale
1 m = 2 cm
Required Ans.
TLAB = a’b1’ X (1/2)
= 4.45 m
6.
7. 3. A pipe-line from a point A, running due north-east has a downward gradient of 1 in 5. Another point B is
12 m away from and due east of A and on the same level. Find the length and slope of pipe-line from B
which runs due 150 east of north and meets the pipe-line from A.
8.
9. 3. A picture frame 2 m wide and 1 m high is to be fixed on a wall railing by two straight wires attached to
the top corners. The frame is to make and angle of 400 with the wall and the wires are to be fixed to a hook
on the wall on the centre line of the frame and 1.5 m above the railing Find the length of the wires and the
angle between them.
x y
HP
x1
y1
40˚
a’
b’ c’
d’
c’’
a’’
d’’
h’ h’’
b’’
1.5
m
a
VP b c
2 m
h
a1’ d1’
d
ψ = 91⁰