document.write( "Question 886807: Please help me solve this problem: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 feet. Find the length of the ladder if the length is 2 feet more than it's distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #536210 by nerdybill(7384)\"\" \"About 
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Please help me solve this problem: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 feet. Find the length of the ladder if the length is 2 feet more than it's distance from the wall.
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\n" ); document.write( "Let x = distance from wall
\n" ); document.write( "then from \"ladder if the length is 2 feet more than it's distance from the wall\"
\n" ); document.write( "we have
\n" ); document.write( "x+2 = length of ladder
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\n" ); document.write( "applying Pythagorean theorem:
\n" ); document.write( "x^2 + 6^2 = (x+2)^2
\n" ); document.write( "x^2 + 36 = (x+2)(x+2)
\n" ); document.write( "x^2 + 36 = x^2+4x+4
\n" ); document.write( "36 = 4x+4
\n" ); document.write( "32 = 4x
\n" ); document.write( "8 feet = x (distance from wall)
\n" ); document.write( ",
\n" ); document.write( "length of ladder:
\n" ); document.write( "x+2 = 8+2 = 10 feet
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