Geography/Math problem

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1. OP coolbho3000 GBATemp Kikkoman Naturally Brewed SoySauce Fanatic Member Level 6

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At which point(s) on Earth can you go one mile south, one mile east, and one mile north, and end up at the exact point you started? Assume the Earth is a perfect sphere.

There is more than one answer.

2. Jax Pip Pip Cheerioink! Member Level 7

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The North and South Poles?

3. OP coolbho3000 GBATemp Kikkoman Naturally Brewed SoySauce Fanatic Member Level 6

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North Pole is one, South Pole is not. You cannot travel one mile south at the south pole.

4. xcalibur Gbatemp's Chocolate Bear Member Level 5

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But by that logic, you can't travel one mile north at the north pole @[email protected]

5. legendofphil Phil no Densetsu Member Level 3

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But you wouldn't be at the north pole any more, since you have gone one mile south and one mile east.

There are 3 more answers that I can think of:

Equator
Tropic of Cancer
Tropic of Capricorn

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The equator?

7. deathfisaro Narcistic Deathfisaro Fan Member Level 3

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There are infinite number of answers:

1) The circular area that is 1 mile north of a point that has factor of 1 mile circumference.
2) North Pole

1 mile north of the South Pole doesn't really count because you can't stand at the point that has 0 circumference and walk 1 mile east. The concept is valid but in reality it's not (mainly mathematically than physically, because you only get 0 circumference if South Pole is the tip of a perfectly levelled 3D round object -and Earth is not-).

But if you are 1 mile north of a point that has 1 inch circumference, you CAN walk 1 mile east, that'd be hellota trips around the circle but still you can make it.

I saw this question a few years ago and the question asked "which bear would you encounter in those areas?" It makes more sense because technically there are infinite number of answers to "where"

8. OP coolbho3000 GBATemp Kikkoman Naturally Brewed SoySauce Fanatic Member Level 6

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There is one more set of points that deathfisaro missed.

I found out this stuff by myself, then was devastated to see that other people had already discovered it online.

9. deathfisaro Narcistic Deathfisaro Fan Member Level 3

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Oh, your question specifically says "assume Earth is a perfect sphere" I didn't see that.

There's too much alcohol in my system I miss things.

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