Question

F = (-6.0,3.3), where all components are in newtons. if a vector's direction is measured counterclockwise from the positive x-axis, what angle (in degrees from 0-360) does f make?

Answer 1

The second-quadrant angle is

... arctan(3.3/-6.0) ≈ 151°

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Your calculator will tell you it is about -28.81°. You need to add 180° to that 4th-quadrant angle to put it in the 2nd quadrant.