document.write( "Question 1023208: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 44 feet more than its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #638721 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! If you draw the situation, you'll notice it's a right triangle. \n" ); document.write( "Let the distance from the wall be x. \n" ); document.write( "Then the length of the ladder, and the hypotenuse of the triangle, will be x+44. \n" ); document.write( "Now applying the Pythagorean Theorem, we have \n" ); document.write( "12^2 + x^2 = (x+44)^2 \n" ); document.write( "x^2 + 144 = x^2 + 88x + 1936 \n" ); document.write( "This turns out to be impossible. \n" ); document.write( "I think you meant 4 feet more...please resubmit...if it is, the length of the ladder is 20 feet... \n" ); document.write( " |