Calculating Light Signal Velocity: Relativistic Effects at 0.5c

[Engineergirl2]

Homework Statement

You fire a light signal at 60° north of west. (a) find the velocity components of this signal according to an observer moving eastward relative to you at 0.5c. From them, determine the magnitude and direction of light signal's velocity according to the other observer. (b) find the components according to a different observer, moving westward relative to you at 0.5c.

Homework Equations

U'= (u-v)/(1-uv/c)
U= (u+v)/(1+uv/c)

The Attempt at a Solution

These are the only two formulas that I could think to use, but I am not sure how to incorporate the angle? It's throwing me off of the whole problem. Any help or explanation would be so much appreciated, thank youu!

 

[Engineergirl2]

Would I use the speed of light for the hypotenuse of my triangle, since it says I'm firing a light signal, and then use simple trig, i.e. Csin60=y for my y-component? I'm really unsure.