A commuter airplane starts from an airport and takes the route shown in Figure P$3\mathrm{.}17.$ The plane first flies to city A$,$ located $175$ km away in a direction $30\mathrm{.}0\backslash$deg north of east. Next, it flies for $150$ km $20\mathrm{.}0\backslash$deg west of north to city B$.$ Finally, the plane flies $190$ km due west, to city C$.$ Find the location of city C relative to the location of the starting point. distance in km and angle in degrees west of north