document.write( "Question 328276: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 feet more than its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #235168 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the distance of the foot of the ladder to the wall be x feet \n" ); document.write( "length of ladder = x+2 \n" ); document.write( "height at which it touches the wall = 6 feet \n" ); document.write( "They form a right triangle \n" ); document.write( "(x+2)^2= x^2+6^2 \n" ); document.write( "x^2+4x+4=x^2+36 ( x^2 cancels off) \n" ); document.write( "4x+4=36 \n" ); document.write( "4x=36-4 \n" ); document.write( "4x=32 \n" ); document.write( "x=32/8 \n" ); document.write( "x=8 \n" ); document.write( "x+2 = 8+2 = 10 feet is the length of the ladder. \n" ); document.write( " |