document.write( "Question 190446: Ok, I'm not good at word problems and I need a little help if possible.\r
\n" ); document.write( "\n" ); document.write( "A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4 ft less than the length of the ladder.\r
\n" ); document.write( "\n" ); document.write( "The ladder reached ___ feet up the wall.
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Algebra.Com's Answer #142937 by checkley75(3666)\"\" \"About 
You can put this solution on YOUR website!
(X-8)^2+(X-4)^2=X^2
\n" ); document.write( "X^2-16X+64+X^2-8X+16=X^2
\n" ); document.write( "2X^2-24X+80-X^2=0
\n" ); document.write( "X^2-24X+80=0
\n" ); document.write( "(X-4)(X-20)=0
\n" ); document.write( "X-20=0
\n" ); document.write( "X=20 ANS. FOR THE LENGTH OF THE LADDER.
\n" ); document.write( "PROOF:
\n" ); document.write( "(20-8)^2+(20-4)^2=20^2
\n" ); document.write( "12^2+16^2=400
\n" ); document.write( "144+1256=400
\n" ); document.write( "400=400\r
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