Need help problem solving: A semielliptic archway has a height of 20ft and width of

[Yanaagi]

A semielliptic archway has a height of 20ft and width of 50ft, as shown in the figure below. can a truch of 14ft high and 10 wide drive under the archway without going into the other lane? i need complete solution i don't know how to solve this our teacher didn't discuss this and just gave it as an assignment

 

[Dr.Peterson]

A semielliptic archway has a height of 20ft and width of 50ft, as shown in the figure below. can a truch of 14ft high and 10 wide drive under the archway without going into the other lane? i need complete solution i don't know how to solve this our teacher didn't discuss this and just gave it as an assignment

Write an equation for the ellipse. Suppose the left edge of the truck is on the y-axis. What is x for the right edge? What is y at that position?

If that doesn't help, show some sort of work so we can tell what you know and what you need.