Question 52 Answer and Explanation _ACT April 2022 Form E25 Math Section

Use the following information to answer questions 50-52.

Harold is planning a garden as shown in the scale drawing below. The line segments represent the fence surrounding the garden, with an opening in the fence to access the garden. Each small square in the scale drawing represents a square with a side length of 2 feet. Each marked point is at the vertex of a small square in the drawing.

52. What is the measure of the angle labeled θ in the scale drawing of the garden?

F. ${cos}^{-1}(\frac{6}{8})$

G. ${sin}^{-1}(\frac{6}{8})$

H. ${tan}^{-1}\frac{6}{8}$

J. ${tan}^{-1}\frac{8}{8}$

K. ${tan}^{-1}\frac{8}{6}$

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

The trigonometric function tanθ=AC/BC=16/12=8/6, so K is correct