A force of 100 N acts upward. Resolve this force into 2 components; one that acts 30º north of west and one that acts 60º north of east.

To resolve these forces we have to make use of the sines and cosines.

To resolve this force in 30 degree north of west, the answer will be

100*sin (30)

The answer will be 50N

Now to resolve the force acting 60 degree north of east

100 * cos (60)

The answer will be 50N.

This also adds to the total force acting that is 50+50=100N. This is the way forces are resolved according to their specified angles.