Final answer:
Fairbanks is the city closest to 65°N 150°W, based on its geographical location in relation to the given coordinates.
Step-by-step explanation:
The city located closest to 65°N 150°W is Fairbanks, Alaska. When looking at the coordinates provided, one can determine this by understanding the geography of Alaska and using a map to see that Fairbanks lies just south of the 65°N latitude, while the other cities are either farther north, like Barrow, or not as close longitudinally, like Anchorage and Nome.