document.write( "Question 1014409: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 4 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the​ ladder? \n" ); document.write( "
Algebra.Com's Answer #630765 by macston(5194)\"\" \"About 
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\n" ); document.write( "C=L=length of ladder; A=height up side of building=L-2;
\n" ); document.write( "B=distance from building to bottom of ladder=L-4
\n" ); document.write( ".
\n" ); document.write( "\"A%5E2%2BB%5E2=C%5E2\"
\n" ); document.write( "\"%28L-2%29%5E2%2B%28L-4%29%5E2=L%5E2\"
\n" ); document.write( "\"%28L%5E2-4L%2B4%29%2B%28L%5E2-8L%2B16%29=L%5E2\"
\n" ); document.write( "\"2L%5E2-12L%2B20=L%5E2\"
\n" ); document.write( "\"L%5E2-12L%2B20=0\"
\n" ); document.write( "\"%28L-2%29%28L-10%29=0\"
\n" ); document.write( "\"L-2=0\" \"OR\" \"L-10=0\"
\n" ); document.write( "\"L=2\" \"OR\" \"L=10\"
\n" ); document.write( "Since L must be greater than 4 (Distance from building is L-4),
\n" ); document.write( "L=10.
\n" ); document.write( ".
\n" ); document.write( "ANSWER: Length of ladder is 10 feet.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "C=L=10 feet
\n" ); document.write( "A=L-2=10-2=8 feet
\n" ); document.write( "B=L-4=10-4=6 feet
\n" ); document.write( ".
\n" ); document.write( "\"A%5E2%2BB%5E2=C%5E2\"
\n" ); document.write( "\"8%5E2%2B6%5E2=10%5E2\"
\n" ); document.write( "\"64%2B36=100\"
\n" ); document.write( "\"100=100\"
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