15.0 N x Sin 15^o = 3.88 N
30.0 N x Sin 75^o = 29.0 N

3.88 N + 29.0 N = 32.9 N

   
    
North Components

15.0 N x Cos 15^o = 14.5 N
30.0 N x Cos 75^o = 7.76 N

14.5 N  +  7.76 N = 22.3 N

  
Resultant = ( (32.9 N)²  +  (22.3N² ) ^1/2
Resultant = 39.7 N

   
                                 32.9 N
Heading = Tan ^-1 (------------) = 55.9^o
                                 22.3 N

   
Equilibrant is the vector necessary to balance the resultant. 

The equilibrant is the same magnitude but at 180^o.

Equilibrant = 39.7 N at 235.9^o