document.write( "Question 103086: A five foot six inch tall woman casts a twelve foot long shadow. at the sam time a tree casts a 45 foot long shadow. How tall is the tree? \n" ); document.write( "
Algebra.Com's Answer #74954 by bucky(2189)\"\" \"About 
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You can solve this problem using proportions that are set up as follows:
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\n" ); document.write( "\"%28Height%29%2F%28Shadow%29+=+%28Height%29%2F%28Shadow%29\"
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\n" ); document.write( "The height of the woman is 5 ft 6 inches and this is 5.5 feet. Her shadow is 12 ft long.
\n" ); document.write( "Substituting these values results in:
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\n" ); document.write( "\"%285.5%29%2F%2812%29+=+%28Height%29%2F%28Shadow%29\"
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\n" ); document.write( "The shadow of the tree is 45 feet. Substitute this and you get:
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\n" ); document.write( "\"%285.5%29%2F%2812%29+=+%28Height%29%2F45\"
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\n" ); document.write( "You can get rid of the denominator of 45 by multiplying both sides of the equation by 45.
\n" ); document.write( "When you do that the equation becomes:
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\n" ); document.write( "You are now left with the equation:
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\n" ); document.write( "\"%28%2845%29%2A%285.5%29%29%2F12+=+%28Height%29\"
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\n" ); document.write( "Solve for the Height of the tree by multiplying out the numerator of 45*5.5 and dividing that
\n" ); document.write( "product by 12 to get:
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\n" ); document.write( "\"%28Height%29+=+%28%2845%29%2A%285.5%29%29%2F12+=+247.5%2F12=+20.625\"
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\n" ); document.write( "The tree is 20.625 feet tall. This converts to 20 ft 7.5 inches.
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\n" ); document.write( "Hope this helps you to understand the problem a little better ...
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