Answer:
[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]
Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Where:
[tex]b =6[/tex] ---- height
[tex]a = 0.5 * 20 =10[/tex] --- width
So:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
[tex]\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1[/tex]
[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]
