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

Tangent = Opposite / Adjacent
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)
then you'll get.....

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

The pole's height = 322.75 feet :)

hope it helps:)

Answer 2

Thank you so much :)

Answer 3

np:)

Answer 4

It help alot

Answer 5

yey!:)