document.write( "Question 325877: ladder is resting against the wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6ft more tahn its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #233308 by MathTherapy(10552)\"\" \"About 
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ladder is resting against the wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6ft more tahn its distance from the wall.\r
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\n" ); document.write( "\n" ); document.write( "The ladder resting against the wall forms its length which is also the hypotenuse of a right triangle. This is what is being asked for.\r
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\n" ); document.write( "\n" ); document.write( "Let the ladder's distance from the wall be D. Since the length of the ladder is 6 ft more than the ladder's distance from the wall, then the ladder's length is D + 6\r
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\n" ); document.write( "\n" ); document.write( "We now have 2 legs and the hypotenuse of the right triangle. Based on the pythagorean formula, \"c%5E2+=+a%5E2+%2B+b%5E2\", we will have:\r
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\n" ); document.write( "\n" ); document.write( "\"%28D+%2B+6%29%5E2+=+D%5E2+%2B+18%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"D%5E2+%2B+12D+%2B+36+=+D%5E2+%2B+324\"\r
\n" ); document.write( "\n" ); document.write( "12D = 288\r
\n" ); document.write( "\n" ); document.write( "\"D+=+288%2F12\" = 24 ft\r
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\n" ); document.write( "\n" ); document.write( "This means that the hypotenuse or length of the ladder is \"highlight_green%2830%29\" ft (24 + 6).
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