SOLUTION: 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

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 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      Log On


   



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.
Answer by Alan3354(69443) About Me  (Show Source):
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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%5E2%2F324+%2B+y%5E2%2F225+=+1
If the truck is in the center:
At x = 6:
36%2F324+%2B+y%5E2%2F225+=+1
Solve for y.