$(3)$ Two sted dogs are priling on the stane sherd. The sled neegh to travel clue South. The first clogg, Chuck, is pulling at an angle $24$ degrees West of South. The seroud dog, Rufis, is foree at an fugle of $20$ degreas Somilh of East.

$($a$)$ Sketch a diagnan of the sitnaticus

$($b$)$ Wrike the component for Rufinsis fonee vector$-$ Leave the component: in exact form.

$($c$)$ Ilow many pounds of force will Cluck neod to pull with to keep the sled moving due South?

$($d$)$ Assuming Chack pulls with the munom of force you caleutated in part $($c$),$ what is the magnitme of the met force acting on the siled?