Question

Am I doing this right?

Answer 1

Find the magnitude of the resultant force and the angle it makes with the positive x-axis:

Answer 2

I broke each vector into its x y components

Answer 3

Fnet_x = 20cos45 + 16cos30

Fnet_y = 20sin45 - 16sin30

Answer 4

Am I doing good so far?

Answer 5

Yes, you have the right method, and the expressions are correct, including sign.
Continue the good work! :)

Answer 6

Oh ok for the magnitude I get about 28.7

for the angle I get 0.22 degrees ? why do small? Does it make sense?

Answer 7

Yes, the magnitude is correct, to 3 significant figures.
The angle is not correct.
However, the angle is relatively small because you are looking for the resultant.
If you can visualize the resultant by the parallelogram rule, it would be quite close to the x-axis.

Also, recall that the angle is
atan(Fy/Fx).

Answer 8

thank you.

Answer 9

I get that the angle the resultant force makes with the positive x axis is about 12 degrees.

Answer 10

I think that's what I got too, well done! :)