Solve the Problem $\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1$

Multiple Choice

Solve the problem.
-A park has an elliptical shape with a major axis of 970 feet and a minor axis of 917 feet. Find the equation of the elliptical boundary.
a. Take the horizontal axis to be the major axis and locate the origin of the coordinate system at the
Center of the ellipse.
b. Approximate the eccentricity of the ellipse. Round to two decimal places.

A) a. $\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1$
b. $e \approx 0.11$
B) $\mathbf { a } \cdot \frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1$
b. $e \approx 0.33$
C) a. $\frac { x ^ { 2 } } { 970 ^ { 2 } } + \frac { y ^ { 2 } } { 917 ^ { 2 } } = 1$
b. $e \approx 0.33$
D) a. $\frac { x ^ { 2 } } { 485 ^ { 2 } } + \frac { y ^ { 2 } } { 458.5 ^ { 2 } } = 1$
b. $e \approx 0.34$