ARITHMETIC APTITUDE: Height and Distance

ARITHMETIC APTITUDE
What is the angle of the sun when the shadow of a tree is √3 times longer than the height of the tree?

Correct Answer is (b) 30°.

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How long is the ladder if it's leaning against a wall at a 60° angle, and the bottom of the ladder is 7.5 meters away from the wall?

Correct Answer is (d) 15 m

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What is the distance between two ships at sea if they both see the top of a lighthouse, which is 100 meters tall, at angles of 30° and 45° respectively?

Correct Answer is (a) 273 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 45°. What is the distance between the base of the tower and the point P?

Correct Answer is (d) Insufficient Data

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A Person is 1.7 m tall and stands 30 meters away from a tower. what is the height of the tower when the angle of elevation from his eye to the top of the tower is 45°?

Correct Answer is (c) 31.7 m

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From a point P on the ground, if you look up at the top of a tower, the angle of elevation of the top of the tower is 30°. The tower is 120 meters tall. How far is point P from the base of the tower?

Correct Answer is (a) 120√3 m

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