document.write( "Question 542498: How far up a wall will an 11 meter ladder reach, if the foot of the ladder must be 4 meters from the base of the wall? Enter the numerical answer only rounded to the nearest hundredth. \n" ); document.write( "

Algebra.Com's Answer #354599 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 = 11 ft
\n" ); document.write( "leg1= 4 ft
\n" ); document.write( "Leg2= ?
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\n" ); document.write( "leg2^2=hyp^2-leg1^2
\n" ); document.write( "Leg2^2= 11 ^2 - 4 ^2
\n" ); document.write( "Leg2^2= 121 - 16
\n" ); document.write( "Leg2^2= 105
\n" ); document.write( "Leg2= $\"sqrt%28175%29\"$
\n" ); document.write( "Leg2= 10.25 ft
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\n" ); document.write( "The ladder touches the wall at a height of 10.25 ft
\n" ); document.write( "m.ananth@hotmail.ca
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