A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^{\circ}. The angle of elevation is 30^{\circ} from a point at a distance y metres from the bank. What is the height of the tree?

Correct Answer is : √3y2 metres

UPSC NDA I 2011 Mathematics Paper

Question : 52 of 120

Marks: +1, -0

A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60∘. The angle of elevation is 30∘ from a point at a distance y metres from the bank. What is the height of the tree?

y metres
2y metres
‌
√3y
2
metres
‌
y
2
metres

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