Question

A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the height of the pole (round to 2 decimal places)?

A) 53.53 feet
B) 74.62 feet
C) 126.11 feet
Eliminate
D) 322.75 feet

Answer 1

D) 322.75 feet
use the trigonometric ratio Tangent to solve for this problem.
Tan = Tan(angle) = opposite side / adjacent side
we dont know height of pole so use x for opposite side.
plug in values
tan(67) = x/137
multiply both sides by 137
137*tan(67) = x
plug into calculator to get 322.75