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

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Formula :

CosA = Base/Hypotenuse 

We have,

Angle, A = 67°

Base = 137 feet

Now, 

Cos67° = 137/Hypotenuse 

0.39073 = 137/Hypotenuse 

Hypotenuse = 137/0.39073

Hypotenuse = 350.62

 

Hence, Length of wire is 350.62 feet.

So, option (D) is correct .

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