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)\"\" \"About 
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A right triangle is formed with one leg of 7 ft and the hypotenuse being 13 ft.\r
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\n" ); document.write( "\n" ); document.write( "Use the Pythagorean Theorem to find the length of the other leg.\r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Distance from bottom of ladder to wall is approximately 10.95 ft.
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