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(6938) 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?


drawing%28600%2C330%2C-20%2C20%2C-2%2C20%2C%0D%0A%0D%0A+++line%28-7.388%2C0%2C0%2C0%29%2C+line%280%2C0%2C0%2C17.956%29%2C+line%28-7.388%2C0%2C0%2C9.456%29%2C%0D%0A%0D%0A+++++locate%281%2C4.5%2Cx%29%2C+locate%281%2C14.7%2C%2710.5%27%27%29%2C+locate%28-6.38%2C1.3%2C%2752%B0%27%29+++%0D%0A+++++locate%28-6%2C5.5%2C%2712%27%27%29++++++++++++%0D%0A++++++++%29
                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