Solving Simple Angle Problem: -63.65° to Positive

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To convert the negative angle of -63.65° to a positive value, one can add 360° to the angle or use the reference angle concept. The y component is 50133.87 and the x component is -24833.87, indicating the angle is indeed in the north of west direction. Drawing a right triangle with these coordinates can help visualize the problem and confirm the angle calculation. Using trigonometric functions can also provide a more straightforward solution. Understanding these methods will clarify how to express the angle positively.
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1. Hi. This is just a detail that I am hung up on, and can't remember from high school. For my final angle calculation, theta=tan^-1(fy/fx), I get a negative angle, -63.65. I know my numbers are correct as part a of my problem was correct, I just can't remember how to make this angle positive so it makes sense. My angle is going in the north of west direction, which I also know is correct. Can someone explain to me how to make it postive?

Thank you.
 
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What are the y and x component values?
 
y component=50133.87
x component=-24833.87
 
I believe the angle is 116.35. Draw and solve the right triangle using your coordinates. Then, you can use the other trig functions to get the correct angle.

I am sure there is a more sensible approach to my solution, but this was the first that came to my mind.
 
Ok, thank you
 

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