document.write( "Question 838438: when the base of a ladder that had been resting flat against the wall is pulled out 4 meters the top of the ladder descends 1/5 the length of the ladder. What is the length of the ladder? \n" ); document.write( "
Algebra.Com's Answer #505102 by edjones(8007)\"\" \"About 
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After the base of the ladder is pulled away 4m we have a right triangle.
\n" ); document.write( "Let L be the length of the ladder.
\n" ); document.write( "b=4, c=L, and a=L-.2L=.8L
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "(.8L)^2+4^2=L^2
\n" ); document.write( ".64L^2+16=L^2
\n" ); document.write( ".64L^2-L^2=-16
\n" ); document.write( ".36L^2=16
\n" ); document.write( ".6L=4
\n" ); document.write( "L=4/.6
\n" ); document.write( "=6 2/3 m
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