Answer to Question #257678 in Physics for Noob

Question

Two forces are acting on a body. One acts east, the other at 35° northeast. If the two forces are equal in magnitude of 50 N, find the resultant.

Answer 1

The resultant is

$$R_x=50+50\cos35°=91\text{ N},\\ R_y=50\sin35°=29\text{ N},\\ R=\sqrt{R_x^2+R_y^2} =96\text{ N},\\\space\\ \theta=\arctan\frac{R_y}{R_x}=18°.$$