Direction of resultant displacement?

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SUMMARY

The resultant displacement of the person after their walk is calculated to be 595.77 meters. The vertical velocity is determined to be -567.32 m/s and the horizontal velocity is -181.91 m/s. The user attempted to find the angle of displacement using the arctangent function but encountered difficulties, initially calculating an angle of 72.22 degrees. The correct approach involves adjusting this angle based on the quadrant of the resultant vector, leading to a final angle of 287.78 degrees measured counterclockwise from due west.

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Homework Statement


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Homework Equations


At the end of the walk, what is the magnitude of the person’s resultant displacement measured from the starting point?

I found this answer to be 595.7697375 m after finding the vertical velocity to be -567.3170013 and the horizontal velocity to be -181.9148158.

The Attempt at a Solution


What is the direction (measured from due west, with counterclockwise positive) of the person’s resultant displacement?
For some reason, I just can not find the angle. I tried to do arctan(vertical velocity/horizontal velocity) which came out to be 72.22112883, but that answer won't work. I then tried -72.22112883 but that won't work either? What am I doing wrong? Please help!
 
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Would it be 360-72.22112883=287.7788712?
 

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