SOLUTION: 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

Question 1043507: 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 to the tunnel? Round off your answer to two decimal places.
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Center of the rode is like the origin on a cartesian coordinate plane.

Solve for y and use the upper branch.

Decide how you want the truck to be positioned; middle over the center line of the rode, or none of the truck crossing the center line. How tall is the truck? Width is only part of the problem to solve.

Imagine the truck will drive in the middle of the rode to try to pass under the tunnel. This leaves 6 feet on either side of the center of the rode. Now, what must y be? Is the truck too tall for this?
RELATED QUESTIONS
A tunnel has the shape of a semi ellipse that is 15 ft high at the center, and 36 ft... (answered by greenestamps)

A tunnel has the shape of semi ellipse that is 15 ft. high at the center, and 36 ft.... (answered by Alan3354)

1. A one-way tunnel has the shape of a semi-ellipse that is 12 ft. high at the center and (answered by greenestamps)

a tunnel has a shape od semi ellipse that 15ft hight at the center,and 36ft across at the (answered by KMST)

The arch of a bridge is in the shape of a semi-ellipse, with its major axis at the water... (answered by greenestamps)

An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft (answered by ikleyn)

The arch of a bridge over a two lane highway is in the shape of a semi-ellipse. The... (answered by Alan3354)

The ceiling of a whispering gallery is in semi-elliptical in shape. Two people at the... (answered by ikleyn)

The opening of the a cave 20 feet wide is in the shape of semi ellipse. If the height of... (answered by robertb)