document.write( "Question 192736: A painter leans a ladder against one wall of a house. The ladder is 16ft long. The base of the ladder is 10ft from the house. How high does the ladder reach on the wall of the house? \n" ); document.write( "
Algebra.Com's Answer #144653 by RAY100(1637)\"\" \"About 
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a quick sketch helps clarify.\r
\n" ); document.write( "\n" ); document.write( "This is a right triangle problem, ground is perpendicular to bldg, one leg is 10, another is height, and hypotenuse is length of ladder, 16.\r
\n" ); document.write( "\n" ); document.write( "use pythagorous to resolve, c^2=a^2 +b^2\r
\n" ); document.write( "\n" ); document.write( "16^2=10^2 +h^2\r
\n" ); document.write( "\n" ); document.write( "16^2-10^2=h^2\r
\n" ); document.write( "\n" ); document.write( "h^2=156\r
\n" ); document.write( "\n" ); document.write( "h=12.5\r
\n" ); document.write( "\n" ); document.write( "check, 12.5^2+10^2=16^2 ok
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