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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |