Estimation quiz!
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08-08-2020, 07:35 AM
Post: #56
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RE: Estimation quiz!
(08-07-2020 09:03 AM)Thomas Okken Wrote: My reasoning is that while traveling at a certain compass heading, the ratio between the total distance traveled and the distance traveled north is constant...Oh, that's very nice! Anyone else got the circumference of the Earth as one of their yardsticks? It's one of mine. (A couple of times I travelled for work purposes, London -> San Francisco -> Tokyo -> London. Each flight is more or less a quarter of the way round a great circle, which means I travelled a triangle with each angle about 90 degrees. That was very satisfactory. I also crossed the dateline, which caused a little mental confusion about how many days had elapsed.) Albert: > → L = pi*R / cos(22.5°) = pi*R * 2/√(2+√2) ≈ 20000 km * 1.0824 = 21648 km Nice! But, I wonder, what mental arithmetic might you do to estimate that result? |
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