document.write( "Question 328276: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 feet more than its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #235168 by mananth(16946)\"\" \"About 
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let the distance of the foot of the ladder to the wall be x feet
\n" ); document.write( "length of ladder = x+2
\n" ); document.write( "height at which it touches the wall = 6 feet
\n" ); document.write( "They form a right triangle
\n" ); document.write( "(x+2)^2= x^2+6^2
\n" ); document.write( "x^2+4x+4=x^2+36 ( x^2 cancels off)
\n" ); document.write( "4x+4=36
\n" ); document.write( "4x=36-4
\n" ); document.write( "4x=32
\n" ); document.write( "x=32/8
\n" ); document.write( "x=8
\n" ); document.write( "x+2 = 8+2 = 10 feet is the length of the ladder.
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