Two towers of height 15m and 25m respectively stand on level ground. The angle of elevation of their tops from a point between the two towers on the line joining their feet are respectively 45° and 600 Find the distance between the two towers?

1 Answer
George Plousos
Feb 22, 2018

I only give a schematic answer, because in the way I understand the problem there are two solutions.

image from my tablet

Explanation:

I plan the two towers first (right). The angle formed at the top of one of them will be 45 degrees. The position of the other tower is easily determined then. If the corners correspond to the height of the towers then the correct answer is about 29.4 m.

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