Addition of vectors by means of components..just need someone to check if answer is right?

Two forces are applied to a tree stump to pull it out of the ground. Force Fa has a magnitude of 2240 newtons and points 34.0 degrees south of east while force Fb has a magnitude of 3160 newtons and points due south. Using the component method, find the magnitude and direction of the resultant force Fa+Fb that is applied to the stump. Specify the direction with respect to due east.








So first I used Pythg Th. to get the resultant force


C=3873.39 N





and then the arc tan 3160/2240=54.6 degrees S of E

Addition of vectors by means of components..just need someone to check if answer is right?
Force Fa needs to be split into force in the south direction and force in the east direction. The force in the south direction = 2240 (sin (36)) = 1317


The force in the east direction is = 2240 (cos(36)) = 1812





Now the total force to the south is 1317 plus 3160 = 4477 Newtons


The total force to the east is 1812.


Using the Pythg Th., you get a total force of 4829.


Using the arc tan (4477/1812) = 68 degrees