document.write( "Question 152780: Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is anne standing? \n" ); document.write( "

Algebra.Com's Answer #112584 by orca(409) $\"\"$ $\"About$

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In this problem, The rope, the tree and the line segment connecting the tree base and Anne form a right triangle.
\n" ); document.write( "The length of the hypotenuse is 60 ft.
\n" ); document.write( "The length of one of its leg is 48 ft
\n" ); document.write( "To find the length of another leg, we use Pythagorean Theorem.
\n" ); document.write( "Let x be the length of the other leg.
\n" ); document.write( " $\"x%5E2%2B48%5E2=60%5E2\"$
\n" ); document.write( " $\"x%5E2=60%5E2-48%5E2\"$
\n" ); document.write( " $\"x=sqrt%2860%5E2-4862%29\"$
\n" ); document.write( " $\"x=sqrt%281296%29\"$
\n" ); document.write( " $\"x=36\"$
\n" ); document.write( "So the distance between the base of the tree and Anne is 36 ft.
\n" ); document.write( " \n" ); document.write( "

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