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
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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) 43 units
- (b) 8 units
- (c) 12 units
- (d) Data inadequate
- (e) None of these
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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
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An observer 1.6 m tall is 203 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 these
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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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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°
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