document.write( "Question 1032268: 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. \n" ); document.write( "

Algebra.Com's Answer #646906 by ikleyn(52797) $\"\"$ $\"About$

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\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
\n" ); document.write( "than the distance the ladder reaches up the building. find how far up the building the ladder reaches.
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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( " = .\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = ,\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.  = .\r\n" );
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