document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #231645 by Fombitz(32388) $\"\"$ $\"About$

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The length of the pole and the distance from the pole to the point on the ground are legs of a right triangle.
\n" ); document.write( "The hypotenuse of the right triangle is the length of the wire.
\n" ); document.write( "Use the Pythagorean theorem,
\n" ); document.write( " $\"H%5E2=A%5E2%2BB%5E2\"$
\n" ); document.write( " $\"H%5E2=14%5E2%2B21%5E2=7%5E2%282%5E2%2B3%5E2%29\"$
\n" ); document.write( " $\"H%5E2=7%5E2%2813%29\"$
\n" ); document.write( " $\"H=7sqrt%2813%29\"$ ft
\n" ); document.write( "or approximately
\n" ); document.write( " $\"H=25.2\"$ ft \n" ); document.write( "

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