document.write( "Question 1133893: A 13 ft ladder is leaning against a wall . The distance from the top of the ladder to the bottom of the wall is 7 ft more than the distance from the bottom of the ladder to the wall. Find the distance from the bottom of the ladder to the wall. \n" ); document.write( "
Algebra.Com's Answer #751130 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! A right triangle is formed with one leg of 7 ft and the hypotenuse being 13 ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the Pythagorean Theorem to find the length of the other leg.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pythagorean Theorem \n" ); document.write( "a² + b² = c² \n" ); document.write( "a and b are the legs \n" ); document.write( "c is the hypotenuse\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7² + b² = 13² {substituted into Pythagorean Theorem} \n" ); document.write( "49 + b² = 169 {evaluated exponents} \n" ); document.write( "b² = 120 {subtracted 49 from each side} \n" ); document.write( "b = √120 {took square root of each side} \n" ); document.write( "b ≈ 10.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distance from bottom of ladder to wall is approximately 10.95 ft. \n" ); document.write( " For more help like this, visit: www.algebrahouse.com \n" ); document.write( " |