Question

Check my work?

Answer 1

For part I, I got 12.92 and I'm pretty sure it's right.
Part II is where I'm a little unsure... at first, I used the law of sines and got 81.63 degrees... then I tried the law of cosines to check my answer, but came up with 98.4 degrees. Which is correct?

Answer 2

@MissSmartiez

Answer 3

12.92 looks correct

Answer 4

The reason is because there are two valid answers, based on the picture though, the angle must be greater than 90.

Answer 5

Also if you use the sine law for the last angle you get 27.6, which means the one must be 98.4

Answer 6

The main problem is that the sin gives the reference angle, which 98.4 has the same sine.

Answer 7

Oh, interesting. Thanks for clearing that up!