document.write( "Question 1154217: A racetrack is in the shape of an ellipse, 170 feet long and 40 feet wide. What is the width 10 feet from a vertex? \n" ); document.write( "

Algebra.Com's Answer #776617 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The semiaxes are 170/2 = 85 ft  and  40/2 = 20 ft.\r\n" );
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document.write( "The equation of the ellipse is\r\n" );
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document.write( "     +  = 1.\r\n" );
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document.write( "From the equation,  \r\n" );
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document.write( "    y = +/- .\r\n" );
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document.write( "Substitute here  x = 85-10 = 75. Then\r\n" );
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document.write( "    y = +/-  = +/- 9.412  (rounded to 3 decimal places).\r\n" );
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document.write( "So, the answer to the problem's question is  9.412 - (-9.412) = 2*9.412 = 18.824 ft  (rounded).    ANSWER\r\n" );
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