To find DE, we can use the Law of Sines. The formula is:
DE / sin(D) = EF / sin(E)
DE / sin(45) = 24 / sin(63)
DE / (sqrt(2)/2) = 24 / (sqrt(3)/2)
DE = (24 * sqrt(2)) / (sqrt(3))
DE ≈ 10.5 in.
In triangle ΔDEF, m∠D = 45°, m∠E = 63°, and EF = 24 in. What is DE to the nearest tenth of an inch?
(1 point)
Responses
30.2 in.
30.2 in.
15.1 in
15.1 in
32.3 in.
32.3 in.
10.5 in.
1 answer