document.write( "Question 1032284: I submitted this before but my question got cut off somehow but here it is again. \r
\n" ); document.write( "\n" ); document.write( "a 40 foot ladder is leaning against a building so that the distance from the bottom of the ladder to the building is 8 feet more than the distance the ladder reaches up the building. find how far up the building the ladder reaches. I think the hypotenuse is 40 and one leg is x+8 but I'm not too sure.\r
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Algebra.Com's Answer #646909 by ikleyn(52793)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x = how far up the building the ladder reaches (vertical leg).\r\n" );
document.write( "Then the other leg is (x+8).\r\n" );
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document.write( "The Pythagorean equation is \r\n" );
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document.write( "\"x%5E2+%2B+%28x%2B8%29%5E2\" = \"40%5E2\".\r\n" );
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document.write( "\"2x%5E2+%2B+16x+%2B+64\" = \"1600\",\r\n" );
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document.write( "\"x%5E2+%2B+8x+-+768\" = \"0\",\r\n" );
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document.write( "(x-24)*(x+32) = 0,\r\n" );
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document.write( "The only positive root is x = 24.\r\n" );
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document.write( "Check. \"24%5E2+%2B+32%5E2\" = \"1600\".\r\n" );
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