A force of 10N act on a object making 30 degree angle north of east and another force of 20N act on it along north. Calculate resultant force and it's direction ?

Answer 1

take the 10 N and break it into components. force=10cos30 N + 10sin30E
add that to the other force
(20+10cos30)N + 10sin30E

that is the resultant.
magnitude= sqrt (N^2+E^2)
direction= arctan E/N where E, N are the components.