A guy wire runs from the ground to a cell tower.

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 49° (see figure). (Round your answers to one decimal place.)

(a) How long is the guy wire?

 ft

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

 ft

Answer 1

A) Wire is 198.75 ft long.

sin 49 = 150/x

x = 150/sin 49 = 198.75 ft

B) It is 130.4 ft away from tower base.

tan 49 = 150/y

y = 150/tan 49 = 130.4 ft