I have no idea where to go from here. I only know how to compute dot product, cross product, cos(theta), magnitude, projection, and scalar components but I don't know how to do this
This is as far as I've gotten so far in trying to wrap my head around this after watching numerous videos on youtube:


Hint: Horizontal component of a vector $V$ is $|V| cos(\theta)$. Hint 2: Take your horizontal direction to be parallel to inclined plane.
Note that angle of F with inclined plane is $34^\circ-16^\circ = 18^\circ$.