This postcard shows the suggestively named Mae West Curve, part of the mountain-crossing Highway 12 in Wyoming, as it was then known. The highway as since been renamed US 212, and passes through the mountains west and north of Yellowstone National Park before entering the park from the Montana side.
The caption states:
#4050 – Mae West Curve on the Beartooth Highway (U.S. 12) to Yellowstone Park via Red Lodge and Cook City.
— Mae West was a popular and deliberately provocative actress of the early days of talking movies. Her large breasts were the most noted feature, and Mae West also gave the name to a style of personal flotation device (life jacket).
This card is likey from the 1940s.