Could someone solve for x using 2 different methods- Law of Sines and Law of cOSINES. And also, can someone explain to me the difference between the two, and how you know which one to use- law of sines or law of cosines or both. If someone could solve this step by step, I'd appreciate it. I really don't know how to do this.

http://i4.photobucket.com/albums/y10...cous/sines.jpg

Thanks