Two observers, P and Q

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

Two observers, P and Q, stand on the same straight line with the foot of a vertical tower. Observer Q is 50 m behind P. The angles of elevation of the top of the tower are 60∘60^\circ from P and 30∘30^\circ from Q. Find (i) the height of the tower, and (ii) the distance of P from the foot of the tower.

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