document.write( "Question 115254: a ladder is resting against a wall. the top of the ladder touches the wall at the height of 18 ft. find the length of the ladder if the length is 6 ft more than its distance from the wall \n" ); document.write( "
Algebra.Com's Answer #83853 by checkley71(8403) ![]() You can put this solution on YOUR website! HERE YOU HAVE A RIGHT TRIANGLE WITH SIDE=18 FEET & THE HYPOTENUSE=BASE+6. \n" ); document.write( "A^2+B^2=C^2 \n" ); document.write( "18^2+B^2=(B+6)^2 \n" ); document.write( "324+B^2=B^2+12B+36 \n" ); document.write( "12B=324-36 \n" ); document.write( "12B=288 \n" ); document.write( "B=288/12 \n" ); document.write( "B=24 IS THE LENGTH FROM THE FOOT OF THE LADDER TO THE BUILDING. \n" ); document.write( "24+6=30 FEET IS THE LENGTH OF THE LADDER. \n" ); document.write( "PROOF \n" ); document.write( "18^2+24^2=30^2 \n" ); document.write( "324+576=900 \n" ); document.write( "900=900 \n" ); document.write( " \n" ); document.write( " |