document.write( "Question 805531: A 26ft ladder is placed against a vertical wall of a building , with the bottom of the ladder standing on level ground 24ft from the base of the building. How high up the wall does the ladder reach \n" ); document.write( "

Algebra.Com's Answer #485289 by mananth(16946) $\"\"$ $\"About$

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The ladder,the floor & the wall form a right triangle.
\n" ); document.write( "The base is one leg The height is the other leg
\n" ); document.write( "The ladder acts as the hypotenuse
\n" ); document.write( "Pythagoras theorem
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\n" ); document.write( "(Hyp)^2= (leg1)^2+ Leg2^2
\n" ); document.write( "Hypotenuse = 26 ft
\n" ); document.write( "leg1= 24 ft
\n" ); document.write( "Leg2= ?
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\n" ); document.write( "leg2^2=hyp^2-leg1^2
\n" ); document.write( "Leg2^2= 26 ^2 - 24 ^2
\n" ); document.write( "Leg2^2= 676 - 576
\n" ); document.write( "Leg2^2= 100
\n" ); document.write( "Leg2= $\"sqrt%28100%29\"$
\n" ); document.write( "Leg2= 10 ft
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\n" ); document.write( "The ladder touches the wall at a height of 10 ft
\n" ); document.write( "m.ananth@hotmail.ca
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