A castle and a monument stand on the same horizontal plane

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

Problem

A castle and a monument stand on the same horizontal plane. The height of the castle is 140 feet and the angles of depression of the top and bottom of the monument as seen from the top of the castle are 40∘40^\circ and 80∘80^\circ respectively. Find the height of the monument.

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