document.write( "Question 1032258: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is sqrt(39) feet. \n" ); document.write( "
Algebra.Com's Answer #646997 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is sqrt(39) feet. \n" ); document.write( "------ \n" ); document.write( "Sketch the picture. \n" ); document.write( "You have a right triangle with height = L-3 ft \n" ); document.write( "and base = sqrt(39) \n" ); document.write( "and hypotenuse = L \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "L^2 = (sqrt(39))^2 + L^2 - 6L + 9 \n" ); document.write( "-------------------- \n" ); document.write( "6L = 39+9 \n" ); document.write( "L = 8 ft (length of the ladder) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " |