Question

A guy wire that is 639.4 meters long is anchored 53.5 meters from the base of an antenna. Determine the angle the wire makes with the ground and calculate the height of the antenna. Round answers to the nearest degree and meter.

Answer 1

Explanation:

Guy wire = hypotenuse = 639.4

adjacent Leg1 = 53.5

cos Φ = adjacent leg / hypoteuse = 53.5/639.4

arc cos ( 53.5 / 639.4 ) = Φ = 85.2 degrees

height = 639.4 sin (85.2) = 637.2 m