Apart from getting A and C the wrong way round ... are you sure that 180 degrees is due west and not due south?
Could someone please verify if this problem is done correctly please. If not where did I go wrong.
The problem:
Use the component method to find the resultant(magnitude and direction) of the forces listed below.
A 200 N at 20 degrees N of East
B 250 N at 180 deg.
C 500 N at -150 deg. S of East
My attempt at the solution:
Ax = 500 cos (-150) = - 433
Ay = 500 sin (-150) = -250
Bx = -250
By = 0
Cx = 200 cos 20 = 187.9
Cy = 200 sin 20 = 68.4
R = (-433-250+187.9)I + (-250 + 0 + 68.4)j
= (-495.1, -181.6)
R = sqrt(-495.1^2 + -181.6^2)
= 527
Tan Theta = 318.4 / 370.9
Theta = 20.1 deg.