A daily navigation puzzle

Headings

Heading No. 2

Moored above Hanoi, Vietnam

Chart centred on the mooring mast above Hanoi030060120150210240300330NESW1,000 km5,000 km10,000 km1,000 km5,000 km10,000 kmTOKYOJapan056° · 3,670 kmSUVAFiji113° · 9,020 kmGABORONEBotswana243° · 10,020 kmNEW DELHIIndia292° · 3,000 kmLONDONUnited Kingdom323° · 9,230 kmHANOI

Azimuthal chart centred on Hanoi: every straight line from the centre is a shortest route at its true bearing (ranges on a square-root scale).

The bearings

Landmark capitalBearingRange
TokyoJapan056° NE3,670 km
SuvaFiji113° ESE9,020 km
GaboroneBotswana243° WSW10,020 km
New DelhiIndia292° WNW3,000 km
LondonUnited Kingdom323° NW9,230 km

Why

The heading that fools a flat map is the one to London (United Kingdom): on a flat world map it seems to lie west-north-west (290°), yet the shortest route sets off north-west at 323°, a 33° difference, because this great circle bows towards the North Pole. The nearest landmark capital was New Delhi (India), 3,000 km away; the farthest, Gaborone (Botswana), was 10,020 km away, 50% of the way to the far side of the globe. From Dhaka (Bangladesh) and Vientiane (Laos), all five landmarks bear within 8° of these headings, which is why the ranges matter.

Play today's heading

Sources

Wikidata: Hanoi (capital coordinates, CC0) · Natural Earth 1:50m populated places (cross-check, public domain) · mledoze/countries (country names, ODbL)