Question

A suitcase with a weight W=250N is pulled by a rope which has a tension T. The force of tension is applied to the right at 20 degrees north of east. The tension is increased until the suitcase just starts to slip. The coefficient of static friction between the suitcase and ground is us=.5. What is the maximum static friction force just before the suitcase starts to slip? The answer is 106..but i can't get it


I have tried to set it up as follows

(0.5)(mg-Tsin(20))=Tcos(20)..but i think i'm missing something