Height-and-distance-solved-problems, MCQ

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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 30º and 45º respectively. If the lighthouse is 100 m
high, the distance between the two ships is:
A. 300 m
B. 173 m
C. 273 m
D. 200 m
Answer : Option C

2. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:
A. 346 m
B. 400 m
C. 312 m
D. 298 m
Answer : Option A

3. The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:
A. None of these
B. 60°
C. 45°
D. 30°
Answer : Option C

4. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:
A. 14.8 m
B. 6.2 m
C. 12.4 m
D. 24.8 m
Answer : Option D

5. A man on the top of a vertical observation tower observers a car moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30° to
45°, how soon after this will the car reach the observation tower?
A. 8 min 17 second
B. 10 min 57 second
C. 14 min 34 second
D. 12 min 23 second
Answer : Option B

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