document.write( "Question 83599: 1. A tree 50-feet tall casts a shadow 30-feet long.
\n" ); document.write( "Mary's shadow is 27-inches long. How tall is Mary?\r
\n" ); document.write( "\n" ); document.write( "2. A reprint of a picture in a photographer exhibit is 8-inches wide and 12-inches long. If the actual picture is 60- inches long, how wide is it? \n" ); document.write( "

Algebra.Com's Answer #60129 by uma(370) $\"\"$ $\"About$

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1) This problem is worked out keeping in mind that the shadow length is proportionate to the ht of the object.\r
\n" ); document.write( "\n" ); document.write( "Let Mary's height be x inches.
\n" ); document.write( "Then 50 : 30 :: x : 27\r
\n" ); document.write( "\n" ); document.write( "==> 30x = 50 * 27\r
\n" ); document.write( "\n" ); document.write( "==> x = 50 * 27/30\r
\n" ); document.write( "\n" ); document.write( " = 45\r
\n" ); document.write( "\n" ); document.write( "Thus Mary is 45 inches tall.\r
\n" ); document.write( "\n" ); document.write( "2)Let the width of the actual picture be w inches.\r
\n" ); document.write( "\n" ); document.write( "Then the proportion would be- 8: 12 :: w : 60\r
\n" ); document.write( "\n" ); document.write( "==> 12w = 8 x 60\r
\n" ); document.write( "\n" ); document.write( "==> w = 8 x 60/12\r
\n" ); document.write( "\n" ); document.write( " = 40\r
\n" ); document.write( "\n" ); document.write( "Thus the picture is 40 inches wide \n" ); document.write( "

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