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 answer is D, 350.62 feet. This is a right triangle problem. We are looking for the hypotenuse. We know that the angle between the hypotenuse and one of the legs is 67 and the length of that leg is 137 feet. We can say this length is the adjacent one to the 67 angle. 1/(sin67) = hypotenuse/adjacent. Therefore 1/(sin67) x 137 is the length of the hypotenuse.