In triangle ΔDEF, m∠D = 43°, m∠E = 62°, and EF = 22 in. What is DE to the nearest tenth of an inch?

(1 point)
Responses

28.5 in.
28.5 in.

15.6 in.
15.6 in.

14.1 in.
14.1 in.

31.2 in.

1 answer

To find DE, you can use the Law of Sines:

sin(D)/DE = sin(E)/EF

sin(43)/DE = sin(62)/22

DE = 22 * sin(43) / sin(62) ≈ 15.6 in.

Therefore, DE is approximately 15.6 in.

So, the correct answer is: 15.6 in.