A graphic designer creates a logo in the shape of an ellipse. The equation the fraction with numerator x squared and denominator 64 plus the fraction with numerator y squared and denominator 14 point 4 4 is equal to 1 , with units in centimeters, represents the outer edge of the logo. How tall is the logo?
The ellipse’s vertical semi-axis is √14.44 = 3.8 cm. The full height is twice the semi-axis, so 2 × 3.8 = 7.6 cm. Therefore, the logo is 7.6 cm tall.
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