A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 46°

Question

(a) How long is the guy wire?

b) How far from the base of the tower is the guy wire anchored to the ground?

Answer 1

sin(46°) = opposite/hypotenuse = 150/c

c = 150/sin(46°) = 208.5 ft

tan(46°) = opposite/adjacent = 150/a

a = 150/tan(46°) = 144.9 ft