document.write( "Question 1192004: A kite is flying on 250 feet of string. How high is it above the ground if its height is 146 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.
\n" ); document.write( "The kite is _____ ft above the ground.
\n" ); document.write( "Thanks for your help!(: \n" ); document.write( "

Algebra.Com's Answer #823892 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
let a right triangle represent this situation\r
\n" ); document.write( "\n" ); document.write( "the kite string would be the hypotenuse ( $\"250\"$ ft),
\n" ); document.write( "the base is the horizontal distance ( $\"d+\"$ ft.), and
\n" ); document.write( "the height of the kite would be the triangle's height ( $\"h=d%2B146+\"$ ft.)\r
\n" ); document.write( "\n" ); document.write( "Using the Pythagorean theorem, you can write:\r
\n" ); document.write( "\n" ); document.write( " $\"d%5E2%2B%28d%2B146+%29%5E2+=250%5E2\"$
\n" ); document.write( " $\"2+d%5E2+%2B+292+d+%2B+21316+=+62500\"$
\n" ); document.write( " $\"2+d%5E2+%2B+292+d+-+41184+=+0\"$ ........using quadratic formuula we get
\n" ); document.write( " $\"d+=+88\"$
\n" ); document.write( " $\"d+=+-234\"$ ->disregard negative solution for distance\r
\n" ); document.write( "\n" ); document.write( "height $\"h=%2888%2B146+%29ft+=234ft\"$ \n" ); document.write( "

\n" );