document.write( "Question 78861: d...ch9\r
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\n" ); document.write( "THe base of a ladder is 14ft away from the wall. The top of the ladder is 17feet from the floor. Find the length of the ladder to the nearest thousandth.\r
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Algebra.Com's Answer #56677 by mathdoc314(58) $\"\"$ $\"About$

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\n" ); document.write( "I think you are supposed to see the ladder making a right triangle with the wall and the floor. In math land, all walls are vertical and all floors are horizontal.\r
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document.write( "  |\\r\n" );
document.write( "  | \\r\n" );
document.write( "H |  \  L\r\n" );
document.write( "= |   \\r\n" );
document.write( "17|    \\r\n" );
document.write( "  |     \\r\n" );
document.write( "  |======\r\n" );
document.write( "     B = 14\r\n" );
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\n" ); document.write( "\n" ); document.write( "This is a right triangle so the Pythagorean Theorem applies:
\n" ); document.write( " $\"+B%5E2+%2B+H%5E2+=+L%5E2+\"$
\n" ); document.write( " $\"+L%5E2+=+14%5E2+%2B+17%5E2+=+196+%2B+289+=+485+\"$
\n" ); document.write( " $\"+L+=+sqrt%28485%29+\"$ which is 22.023 when I round it to the 3rd decimal place.\r
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