Find the resultant of 50 N acting east and 30 N acting 30 degrees northeast

Answer 1

Fr = 50N.[0o] + 30[30o].

X = 50 + 30*Cos30 = 76.0 N.
Y = 30*sin50 = 15 N.

Tan A = Y/X = 15/76 = 0.19737.
A = 11.2o

Fr = X/Cos A = 76/Cos11.2 = 77.5 N.]11.2o] N. of E.