document.write( "Question 106467: hi somebody please help me.................................
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document.write( "i am in desperate need of help
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document.write( "the answer follows down for your convenience.\r
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document.write( "For safetey reasons ,an extension ladder should have a slope of between 6.3 and 9.5 when it is placed against the wall.If the ladder reaches 8 m up a wall, what are the maximum and the minimum distances from the foot of the ladder to the wall?\r
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document.write( "The answer is minimum 0.84 m and maximum 1.27 m \n" );
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Algebra.Com's Answer #77469 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The slope of the ladder is defined as the height up the wall divided by the distance from the \n" ); document.write( "bottom of the wall to the foot of the ladder. In equation form this can be written as: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "where \"height\" is the distance up the wall and \"X\" is the distance from the base of the \n" ); document.write( "wall to the foot of the ladder. \n" ); document.write( ". \n" ); document.write( "You are told that the height is 8 meters and the slope can be 9.5 or 6.3. Let's first assume \n" ); document.write( "that the slope is 9.5. In that case the equation becomes: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Get rid of the X in the denominator by multiplying both sides of this equation by X to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Solve for X by dividing both sides by 9.5 to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and this rounds to 0.84 meters. \n" ); document.write( ". \n" ); document.write( "At the other extreme, the slope can be 6.3. Substitute this value into the slope equation to \n" ); document.write( "get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Again get rid of the X in the denominator by multiplying both sides of this equation \n" ); document.write( "by X to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Solve for X by dividing both sides of the equation by 6.3 to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and this rounds to 1.27 meters. \n" ); document.write( ". \n" ); document.write( "So the answer is that the bottom of the ladder must be 0.84 meters to 1.27 meters from \n" ); document.write( "the base of the wall. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to see how to do the problem. \n" ); document.write( ". \n" ); document.write( " |