document.write( "Question 512876: Two buildings A and B adjacent to each other are separated by a narrow alley. Building A has a window at a heights of 12 meters and building B has a winder at a height of 8 meters, both windows facing the alley.
\n" ); document.write( "A 13meter ladder placed in the alley leaning on the wall of building A reaches the winder at a height of 12meters from the ground.
\n" ); document.write( "Without changing the position of the base of the ladder, the ladder is tilted towards building B and is able to just reach the winder at 8meters.
\n" ); document.write( "What is the width of the alley?
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Algebra.Com's Answer #342780 by mananth(16946)\"\" \"About 
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let the foot of the ladder be located at M\r
\n" ); document.write( "\n" ); document.write( "let the distance on ground from ladder foot to base of building A be MA\r
\n" ); document.write( "\n" ); document.write( "let the distance on ground from ladder foot to base of building B be MB\r
\n" ); document.write( "\n" ); document.write( "MA^2= 13^2-12^2
\n" ); document.write( "MA^2= 169-144=25
\n" ); document.write( "MA=5 m
\n" ); document.write( "...
\n" ); document.write( "MB^2= 13^2-8^2
\n" ); document.write( "MB^2=169-64
\n" ); document.write( "MB^2= 105
\n" ); document.write( "MB= 10.25 m\r
\n" ); document.write( "\n" ); document.write( "MA + MB = alley width\r
\n" ); document.write( "\n" ); document.write( "5+10.25= 15.25 m
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\n" ); document.write( "m.ananth@hotmail.ca
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