Question

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 40° (see figure). (Round your answers to one decimal place.)

Answer 1

We form a rt triangle:

Y = 150 Ft. = Ver. side.
X = Hor. side = Dist. from bottom of tower to point where wire attaches to gnd,
Z = hyp. = Length of wire.

Z = Y/sin40 = 150 / sin40 = 233.4 Ft.
X = Z*cos40 = 233.4*cos40178.8 Ft.