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.

Question

Having lots of trouble with this question. I started with
150 (cos(30), sin(30)) + 75 (cos(150), sin(150))
F = 150 (√3/2, 1/2) + 75 (−√3/2, 1/2)
F = (75√3+37.5, 75+75√3/2)
But I'm having trouble finding the magnitude after that

Answer 1

You have messed up on your last line:

F = 150 (√3/2, 1/2) + 75 (−√3/2, 1/2)
F = (75√3-37.5√3, 75+75/2)
F = (37.5√3,112.5)
= 75 (√3/2,3/2)
= 75√3 (1/2,√3/2)
= 130 at 60°

Answer 2

steve and maria fell in love the end