Question

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.

Answer 1

Thank you for posting your question here at Brainly. 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.