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 48° (see figure). (Round your answers to one decimal place.)

(a) How long is the guy wire? 201.8 ft

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

Answer 1

x is the missing value

a.sin(48) = 150/x
x = 150/sin(48)

b. tan(48) = 150/x
x = 150/tan(48)

remember SOH CAH TOA sin = opposite/hypothenuse cos = adjacent/hypothenuse tan = opposite/adjacent