SOLUTION: How long is a guy wire reaching from the top of a 21-ft pole to a point on the ground 14 feet from the pole? What is the exact length in feet?

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Question 323704: How long is a guy wire reaching from the top of a 21-ft pole to a point on the ground 14 feet from the pole? What is the exact length in feet?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the pole and the distance from the pole to the point on the ground are legs of a right triangle.
The hypotenuse of the right triangle is the length of the wire.
Use the Pythagorean theorem,
H%5E2=A%5E2%2BB%5E2
H%5E2=14%5E2%2B21%5E2=7%5E2%282%5E2%2B3%5E2%29
H%5E2=7%5E2%2813%29
H=7sqrt%2813%29ft
or approximately
H=25.2ft