A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.0$^\circ$, and the man pulls upward with a force $\overrightarrow{F}$ whose direction makes an angle of 30.0$^\circ$ with the ramp($\textbf{Fig. E4.4}$). (a) How large a force $\overrightarrow{F}$ is necessary for the component $F_x$ parallel to the ramp to be 90.0 N? (b) How large will the component $F_y$ perpendicular to the ramp be then?