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Question

Mathematics Question on Heights and Distances

The top of a hill observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. The height of the hill is -

A

hcotqcotqcotp\frac{hcotq}{cotq-cotp}

B

hcotpcotpcotq\frac{hcotp}{cotp-cotq}

C

htanptanptanq\frac{htanp}{tanp-tanq}

D

hsecptanptanq\frac{hsecp}{tanp-tanq}

Answer

hcotpcotpcotq\frac{hcotp}{cotp-cotq}

Explanation

Solution

The correct answer is(B): hcotpcotpcotq\frac{hcotp}{cotp-cotq}