A tower 42 metres high stands on top of a hill

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

Problem

A tower 42 metres high stands on top of a hill. From a point some distance from the base of the hill, the angle of elevation to the top of the tower is 13.2∘13.2^\circ, and the angle of elevation to the bottom of the tower is 8.3∘8.3^\circ. Find the height of the hill.

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