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

A) 30.3 in.
B) 15.1 in.
C) 32.3 in.
D) 10.5 in.

Is the Answer A?

I'm not quite sure though since i'm confused on this question. If someone could help that would mean so much, thank you!

4 answers

since the angles add to 180°, angle F is 72°.

Using the law of sines,

DF/sin72° = 24/sin45°
x = 32.28

So, did you just guess at A?
It was extremely close, there was no guessing. I saw someone else do this problem and got A, but did not explain it well.
Thx Steve!
so its c?