Question

From the top of a 7m high building, the angle of a elevation of the top of a cable tower is 60 degrees and the angle of depression of its foot is 45 degrees . determine the height of the tower.

Answer 1

let the distance between the buliding and tower be x

then tan45 =7/x ⇒x =7

let the height of the tower be y

then tan60 = (y -7)/7 ⇒ y = 7(1 +√3)