document.write( "Question 325877: ladder is resting against the wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6ft more tahn its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #233277 by mananth(16946)\"\" \"About 
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the ladder , ground and the wall form a right triangle.
\n" ); document.write( "The ladder is the hypotenuse of the triangle.
\n" ); document.write( "leg1 xfeet ( distance from the wall)
\n" ); document.write( "leg2= 18feet
\n" ); document.write( "hyp= x+6 feet( length of ladder)\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "x^2+18^= (x+6)^2
\n" ); document.write( "x^2+324= x^2+12x+36
\n" ); document.write( "x^2-x^2-12x=-324+36
\n" ); document.write( "-12x=-288
\n" ); document.write( "x=-288/-12
\n" ); document.write( "x=24 distance from the wall.
\n" ); document.write( "Length of ladder = 24+6 = 30 feet
\n" ); document.write( "..
\n" ); document.write( "CHECK
\n" ); document.write( "18^2+24^2= 30^2
\n" ); document.write( "900 = 900\r
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\n" ); document.write( "\n" ); document.write( "The length of ladder feet 30 feet
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