document.write( "Question 183652: A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down 4 feet, how many feet will the bottom slide out? (It is not 4 feet).\r
\n" ); document.write( "\n" ); document.write( "7 squared+x squared=25 squared
\n" ); document.write( "49+x squared=625
\n" ); document.write( "x squared=576
\n" ); document.write( "x=24\r
\n" ); document.write( "\n" ); document.write( "Then what? \n" ); document.write( "
Algebra.Com's Answer #137844 by nerdybill(7384)\"\" \"About 
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A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down 4 feet, how many feet will the bottom slide out? (It is not 4 feet).
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\n" ); document.write( "What you had is before the slip:
\n" ); document.write( "Let x = height where the ladder hits the building
\n" ); document.write( "7 squared+x squared=25 squared
\n" ); document.write( "49+x squared=625
\n" ); document.write( "x squared=576
\n" ); document.write( "x=24 feet
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\n" ); document.write( "NOW, if it slips 4 feet -- that 24-4=20 feet
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\n" ); document.write( "Let x = distance from wall:
\n" ); document.write( "x^2 + 20^2 = 25^2
\n" ); document.write( "x^2 + 400 = 625
\n" ); document.write( "x^2 = 225
\n" ); document.write( "x = 15 feet
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\n" ); document.write( "But wait, the problem asked: \"how many feet will the bottom slide out?\"
\n" ); document.write( "Since, originally it was 7 feet from the wall
\n" ); document.write( "and now it is 15 feet
\n" ); document.write( ".
\n" ); document.write( "The answer is 8 feet.\r
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