Height and Distance Free Question Bank
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 mB 200 m
C 273 m
D 300 m
E NA
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 unitsB 8 units
C 12 units
D Data inadequate
E NA
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 None of theseB 2.3 m
C 4.6 m
D 7.8 m
E NA
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 9.2 mB 21.6 m
C 23.2 m
D 24.72 m
E NA
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 None of theseB 149 m
C 156 m
D 173 m
E NA
The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
A 30°B 45°
C 60°
D 90°
E NA
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