Word problem equation of ellipse

Question

The entrance to a ride at an amusement park is in the shape of an elliptical opening that is 30 feet wide and 10 feet high. What is an eqation of this ellipse?

Answer 1

Width of the ellipse , 2a = 30 ft

                                a = 15 ft

Height of the ellipse , 2b = 10 ft

                                 b = 5 ft

Equation of the ellipse:

(x²/a²)+(y²/b²) =1

(x²/15²)+(y²/5²) =1

(x²/225)+(y²/25) =1