Height and Distance Questions And Answers.


1.The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?
A. 5 metres
B. 8 metres
C. 10 metres
D. 12 metres

2.The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :__?
A. 30°
B. 45°
C. 60°
D. 90°

3.From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :___?
A. 149 m
B. 156 m
C. 173 m
D. 200 m

4.If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
A. 50°
B. 60°
C. 70°
D. 80°

5.Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :___?
A. 173 m
B. 200 m
C. 273 m
D. 300 m