My general problem is that I'm bad with separating forces into components, and I assume this excercise deals with that. Can someone plz point me in the right direction to solving this problem? Any help will be greatly appreciated.

okay well, the vertical component of the top string would be equal to weight... baseically 4.3 kg*g(acceleration of gravity). that would be tension*sin27... find out tension, the horizontal components of the two strings cancel out... and the horizontal component of the top string would be tension*cos27

ah, by the way, there is a homework help section on the forum, scroll down to the lower section of the webpage and you should see it