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

A. 30.2 in.

B. 15.1 in.

C. 32.3 in.

D. 10.5 in.

Question

Mathematics

Nibbles

27 November, 09:46

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

A. 30.2 in.

B. 15.1 in.

C. 32.3 in.

D. 10.5 in.

+4

Answers (1)

Know the Answer?

Kameron Banks · Answer 1

In order to use the Law of Sines, EF has to be the included side. Therefore, we need to calculate angle F which is 72 degrees.

side f / sine (F) = side d / sine (D)

side f / sine (72) = side 24 / sine (45)

side f = sine (72) * 24 / sine (45)

side f = 0.95106 * 24 /.70711

side f (DE) = 32.2798998741

answer is C

In triangle DEF, m∠D=45, m∠E=63, and EF=24 in. What is DE to the nearest tenth of an inch?A. 30.2 in.B. 15.1 in.C. 32.3 in.D. 10.5 in.

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

A. 30.2 in.

B. 15.1 in.

C. 32.3 in.

D. 10.5 in.