document.write( "Question 325877: ladder is resting against the wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6ft more tahn its distance from the wall. \n" ); document.write( "
Algebra.Com's Answer #233277 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the ladder , ground and the wall form a right triangle. \n" ); document.write( "The ladder is the hypotenuse of the triangle. \n" ); document.write( "leg1 xfeet ( distance from the wall) \n" ); document.write( "leg2= 18feet \n" ); document.write( "hyp= x+6 feet( length of ladder)\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "x^2+18^= (x+6)^2 \n" ); document.write( "x^2+324= x^2+12x+36 \n" ); document.write( "x^2-x^2-12x=-324+36 \n" ); document.write( "-12x=-288 \n" ); document.write( "x=-288/-12 \n" ); document.write( "x=24 distance from the wall. \n" ); document.write( "Length of ladder = 24+6 = 30 feet \n" ); document.write( ".. \n" ); document.write( "CHECK \n" ); document.write( "18^2+24^2= 30^2 \n" ); document.write( "900 = 900\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The length of ladder feet 30 feet \n" ); document.write( " |