document.write( "Question 106467: hi somebody please help me.................................
\n" ); document.write( "i am in desperate need of help
\n" ); document.write( "the answer follows down for your convenience.\r
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\n" ); document.write( "\n" ); 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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\n" ); document.write( "\n" ); document.write( "The answer is minimum 0.84 m and maximum 1.27 m
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Algebra.Com's Answer #77469 by bucky(2189)\"\" \"About 
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:
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\n" ); document.write( "\"Slope+=+height%2FX\"
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\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.
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\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:
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\n" ); document.write( "\"9.5+=+8%2FX\"
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\n" ); document.write( "Get rid of the X in the denominator by multiplying both sides of this equation by X to get:
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\n" ); document.write( "\"9.5X+=+8\"
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\n" ); document.write( "Solve for X by dividing both sides by 9.5 to get:
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\n" ); document.write( "\"X+=+8%2F9.5+=+0.842\" meters
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\n" ); document.write( "and this rounds to 0.84 meters.
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\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:
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\n" ); document.write( "\"0.63+=+8%2FX\"
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\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:
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\n" ); document.write( "\"6.3X+=+8\"
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\n" ); document.write( "Solve for X by dividing both sides of the equation by 6.3 to get:
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\n" ); document.write( "\"X+=+8%2F6.3+=+1.2698\" meters
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\n" ); document.write( "and this rounds to 1.27 meters.
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\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.
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\n" ); document.write( "Hope this helps you to see how to do the problem.
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