Question

A bridge is supported on an semi elliptical arch of height 12m and width at the base of 40m. Find the clearance under the bridge of 10m from the center of the arch.

Answer 1

I don't have a graph.

Answer 2

the equation of this semi elliptical arch is \[x^2/12^2 + y^2/20^2 = 1, y>0\]
So when \[x=10\]
\[y = \sqrt{20^2 - 20^2*100/12^2}\]