Question

120km
(a) 80 km
(b) 20 km
(c) 10 km
(d) 40 km
II. Two Marks Questions
21. The angle of elevation of a ladder leaning against a wall is 60° and foot of the ladder
is 9.5 m away from the wall. Find the length of the ladder.
22. A tower is 1003 m high. Find the angle of elevation of its top from a point 100m
away from its foot.
23. From the point P on a level ground. The angle of elevation of the top of a tower is
30°u if the tower is 100 m high, how far is P from the foot of tower?
24. An aero plane is observed to be approaching the airport. It is at a distance of 12 km
from the point of observation and makes an angle of elevation of 60° there. Find its
height above the ground.
25. The length of a string between a kite and a point on the ground is 90 m. If the string
makes an angle 0 with the level ground such the tan 0 =
vith the level ground such the tan 0 =-, how height is the kite?
26. Find the area of an Equilateral triangle with base 10 m and vertical angle 60°
27. Find the length of the chord of a unit circle subtending an angle of 60° at the centre
28. Find the radius of a circle inscribed in a regular polygon of 6 sides each of tength 60 cm
Page 4 of 23​

Answer 1

21.Answer:

Angle of elevation is 60 °

Foot of the ladder is 9.5 m away from the wall

Constructing a right angled triangle we get :

Base =9.5m=95/10=19/2 m

Angle between hypotenuse and base = 60 °

Cos θ=base/hypotenuse

Cos 60 °=(19/2) / hypo.

on solving the equation we get hyp.=19m

Hypotenuse=length of the ladder