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The angle of depression of two posts P and Q at a distance of 2 metres on the same side of a road from a balloon (B)

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The angle of depression of two posts P and Q at a distance of 2 metres on the same side of a road from a balloon (B) vertically over the road are observed to be 45° and 60°. What is the height of the balloon?

(a) 3 - √3

(b) √3 - 1

(c) 3 + √3

(d) √3 + 1

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Correct option is (c) 3 + √3

Let the height of the balloon be h and the point on ground be S

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