Example:

The diagram above shows a load of mass 500g is hung on a string C, which is tied to 2 other strings A and B. Find the tension of string A.
Answer:

The tension of string C, TC = weight of the load = 5N
All forces in the system are in equilibrium, hence
The vertical component of tension A (T
A) = T
C
T
Acos60
o = T
C
T
A = T
C/cos60
o
T
A = 5/cos60
o = 10N