MathDB
Putnam 1952 A4

Source:

May 29, 2022
Putnam

Problem Statement

The flag of the United Nations consists of a polar map of the world, with the North Pole as its center, extending to approximately 4545^\circ South Latitude. The parallels of latitude are concentric circles with radii proportional to their co-latitudes. Australia is near the periphery of the map and is intersected by the parallel of latitude 3030^\circ S.In the very close vicinity of this parallel how much are East and West distances exaggerated as compared to North and South distances?