Hey all!

I was taking a quiz for my trig class and the following problem came up:

Find the sum ofu+v, given that |u| = 16, |v| = 16, and Theta = 106°.

The magnitude ofu+vis: 19.3

The resultant vectoru+vmakes the angle 53.0 withu.

When I tried the problem, I got 22.6 for the magnitude and 45° for the angle.

I thought that r = sqrt(u^2 + v^2), and I could use arctan=(16/16) to find the angle (at least that's what my math teacher had said).

Any help on how they got these solutions?