Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

Thank you for posting your question here at . I hope I would be able to help you with this question.

This problem is about vectors. You can solve this by manually drawing a force body diagram. However, I'm going to present an easier solution by using a scientific calculator using the complex mode. Just input these:

150<30 + 75<150

Then convert to answer in the form of r<theta. The answer would be 215.51<-69.5.

Thus, the resultant magnitude force is 215.51 lbs and the direction is 69.5 degrees to the southeast, since in the cartesian plane, -69.5 degrees is located in the 4th quadrant.