forces of 20N to the south,40N to the northeast, and 10N to be east act on the object.the magnitude of resultant force is

a)10N b)39 N
c)20 N d)46 N

2 answers

Fr = 20N[270o] + 40N[45o] + 10[0o] =
-20i + 40*cs45) + i40*sin45) + 10 =
-20i + 28.28 + 28.28i + 10=38.28 + 8.28i

Fr^2 = 38.28^2 + 8.28^2 = 1533.9
Fr = 39 N.
Force=39N