Write an equation in standard form of an ellipse that is 28 units high and 20 units wide. The center of the ellipse is (0, 0).

Answer 1

Given the center of the ellipse at (0, 0), we can write the equation in standard form as:

(x^2/a^2) + (y^2/b^2) = 1

where a is the semi-major axis and b is the semi-minor axis.

Since the ellipse is 20 units wide and 28 units high, we have:

a = 20/2 = 10
b = 28/2 = 14

Therefore, the equation of the ellipse in standard form is:

(x^2/10^2) + (y^2/14^2) = 1