document.write( "Question 508956: 19 1/2-foot ladder leans against a building. The base of the ladder is 7 1/2 ft from the building. How high up the building does the ladder reach? \n" ); document.write( "
Algebra.Com's Answer #341189 by mananth(16946)\"\" \"About 
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Ladder = 19.5 ft
\n" ); document.write( "distance of base from wall = 7.5 ft
\n" ); document.write( "height at which it touches the building = x
\n" ); document.write( "They form a right triangle\r
\n" ); document.write( "\n" ); document.write( "By Pythagoras theorem
\n" ); document.write( "Hypotenuse^2 = Leg1^2+leg2^2
\n" ); document.write( "\"+%0919.5%09%5E2%09=%097.5%09%5E2%09%2B%097.5%09%5E2\"
\n" ); document.write( "19.5 ^2 - 7.5 ^2 = x^2
\n" ); document.write( "380.25 - 56.25 = x^2
\n" ); document.write( "324 = x^2
\n" ); document.write( "\"+sqrt%28x%5E2%29=%09%09sqrt%28%09324%09%29\"
\n" ); document.write( "x= 18 m
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