document.write( "Question 1171519: An arch of a bridge over a highway is semi-elliptical in shape and 50 feet across. The highest point of the arch is 15 feet above the highway. What is the maximum height of a vehicle 10 feet wide that can fit under arch ?
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Algebra.Com's Answer #850845 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "An arch of a bridge over a highway is semi-elliptical in shape and 50 feet across.
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document.write( "The major semi-axis is  a = 50/2 = 25 ft, horizontally.\r\n" );
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document.write( "The minor semi-axis is b = 15 ft, vertically.\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 this equation\r\n" );
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document.write( "    y = .\r\n" );
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document.write( "At x = 10/2 = 5 ft,  the y-coordinate is\r\n" );
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document.write( "    y =  =  =  =  = 14.697 ft.\r\n" );
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document.write( "ANSWER.  The maximum height to fit is 14.6 ft  (reasonably and providently rounded down).\r\n" );
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