Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

First force F1 = 200 N

Second force, F2 = 100 N

θ1 = 60°

θ2 = 170°

Take Summation of Forces Horizontal and vertical

ΣFx = 200cos60° - 100cos (180-170°)

=200cos60° - 100cos (10°)

= 1.519 N

ΣFy = 200sin60° + 100sin (180-170°)

= 200sin60° + 100sin10°

= 190.57

Resultant/Magnitude

R = √[ (ΣFx) ² + (ΣFy) ²]

=√[1.519² + (190.57) ²]

R = 190.576 N

Direction of resultant force

θ = arctan [ΣFy / ΣFx]

θ = 89.54°