Question 50 Answer and Explanation _ACT April 2022 Form Z08 Math Section

Question 50 Answer and Explanation _ACT April 2022 Form Z08 Math Section

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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.

50. Which of the following expressions gives the measure of ∠EBC?

F. ${sin}^{-1}(\frac{3}{5})$

G. ${sin}^{-1}(\frac{3}{4})$

H. ${tan}^{-1}(\frac{3}{4})$

J. ${tan}^{-1}(\frac{4}{3})$

K. ${cos}^{-1}(\frac{4}{5})$

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

tan∠EBC=8/6=4/3, so ∠EBC=tan^-1(4/3)