SOLUTION: A vertical tower 165 feet tall has a guy wire that attaches to the ground 95 feet from the base of the tower. How long is the guy wire? Give your answer accurate to 3 decimal place

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Question 999907: A vertical tower 165 feet tall has a guy wire that attaches to the ground 95 feet from the base of the tower. How long is the guy wire? Give your answer accurate to 3 decimal places.


Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If you make a diagram, you'll find that you have a right triangle, where the two legs are 95 and 165 feet. Use the Pythagorean Theorem:
a%5E2+%2B+b%5E2+=+c%5E2
so that
c%5E2+=+95%5E2+%2B+165%5E2
c%5E2+=+9025+%2B+27225
c%5E2+=+36250
and
c = 190.394 feet