Question 44 Answer and Explanation _ACT April 2019 Form Z15 Math Section

44. A spherical droplet of ink strikes a vertical wall, as modeled in the figure below. The angle of impact is indicated by θ in the figure.

The stain the droplet leaves on the wall is oval-shaped. Scientists can measure the maximum length and maximum width of the stain to determine the angle of impact according to the formula :

$\sin{\theta}=\frac{maximum\,width}{maximum\,length}$

The figure below models such a stain. What was the impact angle of the droplet that left this stain?

F. 30°

G. 45°

H. 60°

J. 90°

K. 120°

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

It can be obtained from the question stem, sinθ=0.6/1.2=1/2, so θ=30°.