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
llm
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 .