Question

Someone please help me with this, i'm a little confused :(

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 length of the guy wire (round to 2 decimal places)?

A) 58.15 feet

B) 143.40 feet

C) 148.83 feet

D) 350.62 feet

Answer 1

the guide wire has to be longer than the given side of 137 since it is the hypotenuse.

using trig ratios

\[\cos(67) = \frac{137}{x}\]

manipulating the equation

\[x = \frac{137}{\cos(67)}\]

just enter the information shown above into a calculator to get the answer.