North island of New Zealand
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The coordinates 41°S, 175°E correspond to the city of Wellington in New Zealand. Wellington is the capital city of New Zealand and is located on the southern tip of the North Island.
The coordinates 41S 175E correspond to a location in the Pacific Ocean, near New Zealand, southeast of the city of Wellington.
41°S 175°E is located in New Zealand, specifically in the North Island near the city of Wellington. It is in the central part of the country, close to the Cook Strait.
There's nothing special about Washington, DC, so nobody would ever phrase a question this way. But, DC is at (approximately) 39N 77W, so 80 degrees south and 107 degrees west of DC would be 41S, 194W. Oops, the maximum longitude is 180, so "194W" would be 14 degrees west of 180E, which would be 166E. So, 41S, 166E. These coordinates are in the Tasman Sea, about 280 miles northwest of Canterbury, New Zealand.