Height and Distance MCQs
Practice free Height and Distance multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 124 questions — no login required.
Question 46hard
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 200 m high, the distance between the two ships is:
Question 47hard
The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:
Question 48medium
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:
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Question 49medium
Find the angle of elevation of the sun when the shadow of a pole of 18 m height is $$6\sqrt 3 $$ m long?
Question 50easy
A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?
Question 51medium
An observer 2 m tall is $$10\sqrt 3 $$ m away from a tower. The angle of elevation from his eye to the top of the tower is 30o. The height of the tower is:
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Question 52easy
A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = $$\sqrt 2 - 1$$ )
Question 53easy
A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30° and 60° respectively. What is the height of the tower?
Question 54easy
To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what is the length of the window?