How Do You Calculate the Resultant Using Parallelogram Law and Trigonometry?

[jch11]

Homework Statement

I have attached the problem from the book. It is asking to determine the magnitude and direction of the resultant.

Homework Equations

Law of Sines
Law of Cosines

The Attempt at a Solution

I have started out by using the Parallelogram Law to draw the resultant and I'm pretty sure I could solve this problem with the law of cosines and sines, but I am having trouble figuring out the angles I need to use. Any help would be appreciated..

 

[PhanthomJay]

Why not break up each force into its x and y components? Then sum the x components to get R_x, , sum the y components to get R_y, then R =? , and the angle that R makes with the x-axis is ?