document.write( "Question 31464: Hello, I am not quite sure how to approach this problem:\r
\n" ); document.write( "\n" ); document.write( "when the lower end of a ladder that had been resting flat against a wall was pulled out 4 feet, the top of the ladder descended one-fifth the length of the ladder. find the length of the ladder.\r
\n" ); document.write( "\n" ); document.write( "Thanks so much, really appreciate it.
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Algebra.Com's Answer #18131 by blubunny01(20)\"\" \"About 
You can put this solution on YOUR website!
If you picture a ladder leaning against the wall, you can see that it forms a right triangle such that the ladder is the hypotenuse.\r
\n" ); document.write( "\n" ); document.write( "Let x = the length of the ladder (in ft).\r
\n" ); document.write( "\n" ); document.write( "We know that one side of the triangle is 4ft, and the other side of the triangle is 1/5 the length of the ladder, which is (1/5)x.\r
\n" ); document.write( "\n" ); document.write( "So, if we plug this knowledge into the pythagorean theorem, we have:\r
\n" ); document.write( "\n" ); document.write( "a = 4ft
\n" ); document.write( "b = x/5
\n" ); document.write( "c = x\r
\n" ); document.write( "\n" ); document.write( "\"%284%29%5E2+%2B+%28x%2F5%29%5E2+=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"16+%2B+x%5E2%2F25+=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"16+=+x%5E2+-+x%5E2%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"16+=+%2824%2F25%29x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"16%2A%2825%2F24%29=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2A%2825%2F3%29=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"50%2F3+=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2850%2F3%29+=+x\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%2Asqrt%282%2F3%29+=+x\"\r
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\n" ); document.write( "\n" ); document.write( "So, the length of the ladder is \"5sqrt%282%2F3%29\" ft, or approx 5.816 ft.
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