document.write( "Question 1167018: A tunnel has the shape of a semi ellipse that is 15 ft high at the center, and 36 ft across at the base. At most how high should a passing truck be, if it is 12 ft wide, for it to be able to fit through the tunnel? \n" ); document.write( "
Algebra.Com's Answer #791658 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The horizontal major axis is 36 feet, so the semi-major axis is 18.

\n" ); document.write( "The vertical semi-minor axis is 15 feet.

\n" ); document.write( "The equation of the ellipse is

\n" ); document.write( "\"x%5E2%2F18%5E2%2By%5E2%2F15%5E2=1\"

\n" ); document.write( "The truck will just fit through the tunnel if its sides are 6 feet each side of the center. So the problem is asking for the height of the tunnel (y) when x=6.

\n" ); document.write( "\"6%5E2%2F18%5E2%2By%5E2%2F15%5E2=1\"

\n" ); document.write( "You can do the arithmetic to find the answer....

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