document.write( "Question 1136112: A spotlight is placed 2 feet from a 1-foot tall vase. A shadow 5 feet tall is cast on a wall. Find the distance of the vase from the wall. \n" ); document.write( "

Algebra.Com's Answer #753878 by ikleyn(52830) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "It is about proportions . . . \r\n" );
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document.write( "You have two similar (right-angled) triangles.\r\n" );
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document.write( "The legs of the smaller triangle are 2 ft and 1 ft, where 1 ft is the height of the vase.\r\n" );
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document.write( "The legs of the greater triangle are (2+x) ft and 5 ft.\r\n" );
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document.write( "The unknown x is the distance of the vase from the wall.\r\n" );
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document.write( "The proportion (from the triangles similarity) is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From the proportion\r\n" );
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document.write( "    2+x = 2*5 = 10  =============>  x = 10-2 = 8.\r\n" );
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document.write( "ANSWER.  The distance from the vase to the wall is 8 ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Ignore the post by @josgarithmetic, since it is t o t a l l y I R R E L E V A N T.\r
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\n" ); document.write( "\n" ); document.write( "When you obtain something from @josgarithmetic, be very careful, because, AS A RULE,\r
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document.write( "    1)  he can not read a problem correctly;\r\n" );
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document.write( "    2)  he can not interpret correctly what he reads;\r\n" );
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document.write( "    3)  he can not solve a problem correctly;\r\n" );
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document.write( "    4)  he can not present a solution correctly.\r\n" );
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\n" ); document.write( "\n" ); document.write( "He only can create some \"white noise\" and \"dirty wrong solutions\" in this forum, that never are useful.\r
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