Practice mode Height and Distance

From two points on level ground on the same side of a tower and in line with its foot, the angles of elevation of the top are 45° and 30°. The two points are 50 m apart. Taking √3 = 1.732, what is the height of the tower?

Correct answer A. 68.30 m

Explanation

h√3 - h = 50, so h = 50/(√3 - 1) = 25(√3 + 1) = 25 x 2.732 = 68.30 m.

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