In Triangle ΔDEF, m∠D= 45°, m∠E = 63°, and EF = 24 in. What is DE to the nearest tenth of inch?

Question

30.2 in
15.1 in
32.3 in
10.5 in

Answer 1

We can use the law of sines to solve for DE:

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

DE/sin(45°) = 24/sin(63°)

DE ≈ 32.3 inches (rounded to the nearest tenth of an inch)

So the answer is 32.3 in.