Height and Distance Questions And Answers.

1.Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the 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

2.A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
A. 4/3 units
B. 8 units
C. 12 units
D. None of Above

3.The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?
A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m

4.An observer 1.6 m tall is 20 √ 3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is?
A. 21.6 m
B. 23.2 m
C. 24.72 m
D. None of Above

5.From a point P on a level ground, the angle of elevation of the top 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

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