document.write( "Question 769005: A tree casts a shadow 7.5 ft long at the same time that a woman 5 ft tall casts a shadow 3 ft long. How tall is the tree? \n" ); document.write( "

Algebra.Com's Answer #468644 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "TAKE your pick of these:\r\n" );
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document.write( "1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW\r\n" );
document.write( "2.  TREE'S HEIGHT over WOMAN'S HEIGHT equals TREE'S SHADOW over WOMAN'S SHADOW\r\n" );
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document.write( "or some other ways as long as you pair them up by 'height', or pair them up by\r\n" );
document.write( "'shadow'.  {But don't get them criss-crossed)\r\n" );
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document.write( "Let TREE's HEIGHT = t.\r\n" );
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\n" ); document.write( "A tree casts a shadow 7.5 ft long
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document.write( " TREE'S SHADOW = 7.5\r\n" );
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\n" ); document.write( "\n" ); document.write( "a woman 5 ft tall
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document.write( "WOMAN'S HEIGHT = 5 \r\n" );
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\n" ); document.write( "casts a shadow 3 ft long.
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document.write( "WOMAN'S SHADOW = 3\r\n" );
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document.write( "So if you use\r\n" );
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document.write( "1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW\r\n" );
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document.write( " ,  cross-multiply:\r\n" );
document.write( " 3t = 37.5\r\n" );
document.write( "  t = 12.5\r\n" );
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document.write( "or if you use\r\n" );
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document.write( "2.  TREE'S HEIGHT over WOMAN'S HEIGHT equals TREE'S SHADOW over WOMAN'S SHADOW\r\n" );
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document.write( "       cross-multiply\r\n" );
document.write( " 3t = 37.5\r\n" );
document.write( "  t = 12.5 \r\n" );
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document.write( "Either way, the tree is 12.5 feet tall.    \r\n" );
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document.write( "Edwin

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