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

1 answer

To find the length of DE in triangle ΔDEF using the Law of Sines, we can use the following equation:

(DE/sin(45°)) = (24/sin(63°))

Solving for DE, we get:

DE = (sin(45°)/sin(63°)) * 24

DE ≈ 15.8 inches (rounded to the nearest tenth)

Therefore, DE is approximately 15.8 inches to the nearest tenth of an inch.