document.write( "Question 440786: I need help with a word problem:\r
\n" ); document.write( "\n" ); document.write( "The foot of an extension ladder is approximately 10 ft for a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive intergers. How long is the ladder to the nearest foot?\r
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Algebra.Com's Answer #304383 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
The foot of an extension ladder is approximately 10 ft for a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive intergers. How long is the ladder to the nearest foot?
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\n" ); document.write( "Let x = height the ladder reaches on the wall
\n" ); document.write( "then
\n" ); document.write( "x+1 = height of ladder
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\n" ); document.write( "x^2 + 10^2 = (x+1)^2
\n" ); document.write( "x^2 + 10^2 = (x+1)(x+1)
\n" ); document.write( "x^2 + 10^2 = x^2+2x+1
\n" ); document.write( "10^2 = 2x+1
\n" ); document.write( "100 = 2x+1
\n" ); document.write( "99 = 2x
\n" ); document.write( "49.5 ft = x
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\n" ); document.write( "ladder then is:
\n" ); document.write( "x+1 = 49.5+1 = 50.5 feet \r
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