Two boats approach a light house in mid sea from opposite directions

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

Problem

Two boats approach a light house in mid sea from opposite directions. The angles of elevation of the top of the light house from two boats are 30∘30^\circ and 45∘45^\circ respectively. If the distance between the two boats is 100m, find the height of light house.

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