document.write( "Question 1066957: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot 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 3 feet. \n" ); document.write( "
Algebra.Com's Answer #682184 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 1 foot 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 3 feet. \n" ); document.write( "---- \n" ); document.write( "Sketch the picture. \n" ); document.write( "You have a right triangle with hypotenuse = h \n" ); document.write( "base = 3 \n" ); document.write( "height = h-1 \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "h^2 = 3^2 + (h-1)^2 \n" ); document.write( "h^2 = 9 + h^2 -2h + 1 \n" ); document.write( "----- \n" ); document.write( "2h = 10 \n" ); document.write( "height = h-1 = 4 ft. \n" ); document.write( "ladder = h = 5 ft. \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |