document.write( "Question 186779: a 10 foot ladder is leaning against a verticle wall. the base of the ladder is 3 feet from the wall. how high is the point where the ladder touches the wall? \n" ); document.write( "
Algebra.Com's Answer #140001 by uday1435(57)![]() ![]() You can put this solution on YOUR website! Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft\r \n" ); document.write( "\n" ); document.write( "Let the height be h \n" ); document.write( "By Pythagorean theorem \r \n" ); document.write( "\n" ); document.write( "10^2 = 3^2 + h^2\r \n" ); document.write( "\n" ); document.write( "h^2 = 10^2 - 3^2 = 100 - 9 = 91 \n" ); document.write( "h = sqrt( 91) = 9.54 ft\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |