document.write( "Question 536494: A beautiful blue kite is attached to the back of your boat on a 250 foot string. As the speed of the boat increases, the kite rises into the air. The kite is 200 ft. behind the boat when the string is taut. What is the height of the kite above the water? \n" ); document.write( "

Algebra.Com's Answer #352392 by josmiceli(19441) $\"\"$ $\"About$

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The string of the kite forms the hypotenuse
\n" ); document.write( "of a right triangle with 200 ft as the base
\n" ); document.write( "Call $\"h\"$ the height of the triangle
\n" ); document.write( "Use the Pythagorean theorem
\n" ); document.write( " $\"+250%5E2+=+200%5E2+%2B+h%5E2+\"$
\n" ); document.write( " $\"+h%5E2+=+250%5E2+-+200%5E2+\"$
\n" ); document.write( " $\"+h+=+sqrt%28+250%5E2+-+200%5E2+%29+\"$
\n" ); document.write( " $\"+h+=+sqrt%28+62500+-+40000+%29+\"$
\n" ); document.write( " $\"+h+=+sqrt%28+22500+%29+\"$
\n" ); document.write( " $\"+h+=+150+\"$
\n" ); document.write( "The kite is 150 ft above the water \n" ); document.write( "

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