Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

The direction and magnitude can be found by summing the x- and y-components of each force.
It is best presented in the form of a table, where
x-component = Fcos(theta)
y-component = Fsin(theta)
For F=25 pounds, angle = 30
25cos(30)=21.65

Force  angle     x-component          y-component
25       30         25cos(30)=21.65    25sin(30)=12.5
30       100       30cos(100)=-5.21   30sin(100)=29.54
Total                Fx=16.44                 Fy=42.04
Therefore angle = tan^(-1)(Fy/Fx)=tan^(-1)(42.04/16.44) = 68.64 °
magnitude = sqrt(Fx^2+Fy^2)=sqrt(16.44^2+42.04^2)=45.15 pounds