Question 1143601
A tunnel has the shape of 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? Round off your answer to two decimal places.
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Put the center at the Origin.
The ellipse is {{{x^2/324 + y^2/225 = 1}}}
If the truck is in the center:
At x = 6:
{{{36/324 + y^2/225 = 1}}}
Solve for y.