Question

Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120° 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

Is this right?

Magnitude of resultant force
= sq((75sq3−50)^2 + (75+50sq3)^2)
= sq32500
= 50sq13
≈ 180.278 pounds

Direction of resultant force
= tan^-1((75+50sq3)/(75sq3−50))
≈ 63.69 degrees
I was just wondering if this was correct...