Two workers are trying to move a heavy crate. One pushes on the crate with a force A, which has a magnitude of 445 N and is directed due west. The other pushes with a force B, which has a magnitude 325 N and is directed due north. What is the direction that the workers push the crate with respect to North?

1 answer

tanAr = Y/X = 325/-445 = -0.73034
Ar = -36o = Reference angle.
A = -36 + 180 = 144o CCW = 54o W. of N.