A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of $\displaystyle 20.0 ^\circ$, and the man pulls upward with a force $\displaystyle \vec{F}$ whose direction makes an angle of $\displaystyle 30.0 ^\circ$ with the ramp.

1. How large a force $\displaystyle \vec{F}$ is necessary for the component $\displaystyle F_x$ parallel to the ramp to be 6$\displaystyle 0.0 {\rm N}$?

2. How large will the component $\displaystyle F_y$ perpendicular to the ramp then be?

I've got the answers: 69.3 N and 34.6 N respectively, but I don't know how to actually work the problem and get those answers.

I think that $\displaystyle \vec{F}$ is the same as $\displaystyle \vec{F_x}$ and $\displaystyle \vec{F_y}$, but I don't know if that helps me or not.