document.write( "Question 218246: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the length of the ladder if the length is 3ft more than its distance from the wall.
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Algebra.Com's Answer #164375 by drj(1380)![]() ![]() You can put this solution on YOUR website! A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the length of the ladder if the length is 3ft more than its distance from the wall.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let h=9 be the height the ladder touches the wall.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let d=3 ft be the distance from wall\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let L be the length of the ladder and L=3+d since length is 3 ft more than d.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. We can use the Pythagorean Theorem for a right triangle which states that the sum of the squares of the legs (h and d) is the number of the squares of the hypotenuse or L in this case. That is,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 9 from both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide 6 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The length of the ladder is 15 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV \n" ); document.write( "http://www.Facebook.com/FreedomUniversitytv \n" ); document.write( "http://www.Twitter.com/FreedomUTV \n" ); document.write( " \n" ); document.write( " |