document.write( "Question 1081260: Two ladders are leaning against a wall. The longer ladder is 7.2 ft long. The shorter ladder is 6 ft long. Both ladders are leaning against the wall at the same angle measure. The base of the smaller ladder is 2.5 ft from the base of the wall.\r
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document.write( "How far away is the base of the longer ladder to the base of the wall? \n" );
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Algebra.Com's Answer #695372 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two ladders are leaning against a wall. \n" ); document.write( " The longer ladder is 7.2 ft long. The shorter ladder is 6 ft long. \n" ); document.write( " Both ladders are leaning against the wall at the same angle measure. \n" ); document.write( " The base of the smaller ladder is 2.5 ft from the base of the wall. \n" ); document.write( " How far away is the base of the longer ladder to the base of the wall? \n" ); document.write( ": \n" ); document.write( "let x = the distance the longer ladder base is from the smaller ladder \n" ); document.write( "then \n" ); document.write( "(x+2.5) = the distance the longer ladder is from the wall \n" ); document.write( ": \n" ); document.write( "Both angles have the same cosine (side adjacent/hypotenuse) \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "6(x+2.5) = 7.2 * 2.5 \n" ); document.write( "6x + 15 = 18 \n" ); document.write( "6x = 18 - 15 \n" ); document.write( "6x = 3 \n" ); document.write( "x = 3/6 \n" ); document.write( "x = .5 ft \n" ); document.write( "the longer ladder: 2.5 + .5 = 3 ft from wall \n" ); document.write( " |