Question

The height of the tunnel at the center is 58 ft and the vertical clearance must be 29 ft at a point 21 ft from the center. Find an equation for the ellipse.

Answer 1

A railroad tunnel is shaped like a semiellipse as shown below

Answer 2

when x=0 y=58
When y=29 x= 21 and -21

Answer 3

its centered at 0,0