Question 51 Answer and Explanation _ACT April 2022 Form Z08 Math Section

Use the following information to answer questions 49-51.

In the ellipse shown below, AC is the major axis with length 16 feet, BD is the minor axis with length 12 feet, and E is the center. Point F lies on side BC of the inscribed rhombus ABCD.

51. The eccentricity, e, of an ellipse is a measure of the flatness of the ellipse. The eccentricity of a circle is 0. The value of e is given by the ratio $\frac{\sqrt{{a}^{2}-{b}^{2}}}{a}$ , where a and b are half the lengths of the major and minor axes, respectively. Which of the following intervals contains the value of e for this ellipse?

A. 0.0 < e < 0.2

B. 0.2 < e < 0.4

C. 0.4 < e < 0.6

D. 0.6 < e < 0.8

E. 0.8 < e < 1.0

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation