Cooke City hosts Yellowstone auto tourists all summer, and provides food and lodging for snowmobilers that come from the east via the Chief Joseph Scenic Highway in winter. The only winter auto access is through Yellowstone National Park from Gardiner, Montana. Judging by the several "for sale" signs on local establishments, it's not an easy life. The winters are long, and crowds are slim in the fall/spring off-seasons.
I wonder about the distance accuracy, but the point might be that Cooke City is a long way from anywhere. Notice the blue phone sign above the arrows. Yes, they still have a pay phone in town. Wi-fi is available, but for some reason it's a cell phone dead zone.