SOLUTION: A 12-foot guy wire is attached to a telephone pole 10.5 ft from the top of the pole. If the wire forms a 52 degree angle with the ground, how high is the telephone pole?

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Question 83242: A 12-foot guy wire is attached to a telephone pole 10.5 ft from the top of the pole. If the wire forms a 52 degree angle with the ground, how high is the telephone pole?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

A 12-foot guy wire is attached to a 
telephone pole 10.5 ft from the top 
of the pole. If the wire forms a 52 
degree angle with the ground, how 
high is the telephone pole?



                opposite
   sin(52°) = ------------
               hypotenuse

                x
   sin(52°) = ----
               12

Multiply both sides by 12

12 sin(52°) = x

9.456129043 = x

Total height of pole = 9.456129043 + 10.5 = 19.95612904

So you'd round that off to about 20 feet.

Edwin