Question

A guy-wire is attached to 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
D) 322.75 feet

Answer 1

we want to find the opposite so we call it x, and we have the adjacent side to 67 which is 137 feet
so

tan(67) = x/ 137
multiply both sides by 137 to leave x alone (or cross multiply)
you'll get

x = 137 * tan(67)
x = 322.75 feet

The pole's height = 322.75 feet

Answer 2

the answer is 322.75