document.write( "Question 1148735: At a certain time of day a tree that is X meters tall cast a shadow that is X -3 m long if the distance from the top of the tree to the end of the shadow is X +1 m what is the height X of the tree \n" ); document.write( "
Algebra.Com's Answer #770079 by ikleyn(52790)\"\" \"About 
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document.write( "You have a right angled triangle with the legs  X and X-3  and the hypotenuse (X+1) meters.\r\n" );
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document.write( "    \"X%5E2\" + \"%28X-3%29%5E2\" = \"%28X%2B1%29%5E2\"\r\n" );
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document.write( "    \"X%5E2+%2B+X%5E2+-+6X+%2B+9\" = \"X%5E2+%2B+2X+%2B+1\"\r\n" );
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document.write( "    \"X%5E2+-+8X+%2B+8\" = 0\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "    \"X%5B1%2C2%5D\" = \"%288+%2B-+sqrt%288%5E2+-+4%2A8%29%29%2F2\" = \"%288+%2B-+sqrt%2832%29%29%2F2\" = \"%288+%2B-+4%2Asqrt%282%29%29%2F2\" = \"4+%2B-+2%2Asqrt%282%29\"\r\n" );
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document.write( "Only the root  X = \"4+%2B+2%2Asqrt%282%29\"  makes sense.\r\n" );
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document.write( "ANSWER.  The height of the tree is  X=  \"4+%2B+2%2Asqrt%282%29\" = 6.828 meters.\r\n" );
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document.write( "         !  It is the UNIQUE answer to the problem's question !\r\n" );
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document.write( "         !  There is NO other answer !\r\n" );
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