document.write( "Question 553671: Joseph leans a ladder that us 15 feet long against a building. The ladder is 12 feet away from the building. How far up does the ladder touch the side of the building? \n" ); document.write( "

Algebra.Com's Answer #360990 by mananth(16946) $\"\"$ $\"About$

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The ladder ,ground and the wall form a right triangle
\n" ); document.write( "ground distance = leg1
\n" ); document.write( "height at which ladder touches
\n" ); document.write( "Hypotenuse = ladder length
\n" ); document.write( "Pythagoras theorem states that
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\n" ); document.write( "Hypotenuse ^2= leg1^2+leg2^2
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\n" ); document.write( "Hypotenuse = 15 ft
\n" ); document.write( "leg1 = 12 ft
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\n" ); document.write( "leg2^2= hypotenuse ^2 - leg1^2
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\n" ); document.write( "Leg2^2= 15^2-12 ^2
\n" ); document.write( "Leg2^2= 225 - 144
\n" ); document.write( "Leg2^2= 81
\n" ); document.write( "take the square root
\n" ); document.write( "leg2= 9 ft
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\n" ); document.write( "height at which ladder touches =9 ft
\n" ); document.write( "m.ananth@hotmail.ca
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