A railroad tunnel is shaped like a semiellipse as shown below.

A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.

The height of the tunnel at the center is 54 ft and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse.

Question

A railroad tunnel is shaped like a semiellipse as shown below. 

A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis. 

The height of the tunnel at the center is 54 ft and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse.

anonymous · Answer

attachment

anonymous · Answer

Please help, I'll give a medal.