Find the resultant force And angle

The first force has magnitude 60 N and makes an angle of -30° relative to the positive horizontal axis (i.e. to the immediate right), while the second force has magnitude 150 N and direction +30° from the horizontal.

In component form, we have

The resultant force is the vector

Its magnitude is

Its direction is such that

Because the components of the resultant force are both positive, that means the angle makes with the horizontal is between 0° and 90°. So

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