wait, why is adj = 40.55?

I assume you know that adj is short for adjacent, which is used in trigonometric functions for sides of triangles respective to the angle of reference.

This was taken during a group physics tutoring session. I omitted the units at the time because everyone knew what we were talking about, so there was no need to write it up there. This was a force/tension problem that was requiring the rotation of the XY axes in order to recalculate gravity given the horizontal and vertical forces gravity originally had on the object in question. In this problem, we were given all the information required to work our way to an answer and to solve for the hypotenuse (gravity in this case), except gravity was (obviously) not Earth's normal gravity, otherwise there would be no reason to solve for it. In the image there, you see an answer in m/s, but gravity is an acceleration, which is some value in m/(s^2).

Part B of the problem gave some additional information, and we could then solve for the answer in m/(s^2), but that part of the problem was not necessary for my image's purpose so I didn't feel the need to photograph it, heh.