In order to find the magnitude we will follow the next formula
[tex]M=\sqrt[]{C^2_x+C^2_y}[/tex]Cx= -309
Cy=187
We substitute the values
[tex]M=\sqrt[]{(-309)^2+(187)^2}=361.18m[/tex]Then for the direction we need o use the next formula
[tex]\theta=\tan ^{-1}(\frac{Cy}{Cx})[/tex]We substitute the variables
[tex]\theta=\tan ^{-1}(\frac{187}{-309})=-31.181[/tex]In order to obtain the direction we need to add to the angle 180°
the direction is -31.181+180=148.82°
ANSWER
magnitud =361.18
direction =148.82°
