From the top of a vertical cliff 90 m high, the angle of depression of a boat on the sea is 30°. Taking √3 = 1.732, how far is the boat from the foot of the cliff?
Correct answer C. 155.88 m
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Height and Distance MCQs
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From a point on level ground, the angle of elevation of the top of a tower is 30°. On walking 40 m straight towards the tower, the angle of elevation becomes 60°. Taking √3 = 1.732, what is the height of the tower?
Correct answer D. 34.64 m
A kite is flying 75 m above the ground. Its string is taut and makes an angle of 60° with the ground. Taking √3 = 1.732, what is the length of the string?
Correct answer C. 86.60 m
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A kite is flying with a string 120 m long that is taut and makes an angle of 30° with the level ground. Assuming no sag in the string, how high is the kite above the ground?
Correct answer C. 60 m
The height of a vertical flagpole is √3 times the length of its shadow on level ground. What is the angle of elevation of the sun?
Correct answer D. 60°
A ladder 10 m long leans against a vertical wall so that it makes an angle of 30° with the wall. How far is the foot of the ladder from the wall?
Correct answer A. 5 m
A point on level ground is 63 m from the foot of a minaret. The angle of elevation of the top of the minaret from this point is 30°. Taking √3 = 1.732, what is the height of the minaret?
Correct answer A. 36.37 m
From a point on level ground 50 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 45°. What is the height of the tower?
Correct answer D. 50 m
When the angle of elevation of the sun is 60°, a vertical pole casts a shadow 12 m long on level ground. Taking √3 = 1.732, what is the height of the pole?
Correct answer D. 20.78 m
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A ladder 18 m long rests against a vertical wall and makes an angle of 60° with the level ground. Taking √3 = 1.732, how high up the wall does the top of the ladder reach?
Correct answer C. 15.59 m
If log 27 = 1.431, then the value of log 9 is:
Correct answer C. 0.954
The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
Correct answer A. 30°
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:
Correct answer C. 173 m
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 heights of the tower is:
Correct answer A. 21.6 m
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:
Correct answer D. 9.2 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?
Correct answer D. Data inadequate
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:
Correct answer C. 273 m