Geography/Math problem

Discussion in 'General Off-Topic Chat' started by coolbho3000, Jun 10, 2008.

Jun 10, 2008

Geography/Math problem by coolbho3000 at 8:29 PM (1,247 Views / 0 Likes) 8 replies

  1. coolbho3000
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    Member coolbho3000 GBATemp Kikkoman Naturally Brewed SoySauce Fanatic

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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. [​IMG]
     
  2. Jax

    Member Jax Pip Pip Cheerioink!

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    The North and South Poles?
     
  3. coolbho3000
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    North Pole is one, South Pole is not. You cannot travel one mile south at the south pole.
     
  4. xcalibur

    Member xcalibur Gbatemp's Chocolate Bear

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    But by that logic, you can't travel one mile north at the north pole @_@.
     
  5. legendofphil

    Member legendofphil Phil no Densetsu

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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
     
  6. DeMoN

    Member DeMoN GBAtemp Guru

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    The equator?
     
  7. deathfisaro

    Member deathfisaro Narcistic Deathfisaro Fan

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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. coolbho3000
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    Member coolbho3000 GBATemp Kikkoman Naturally Brewed SoySauce Fanatic

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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. [​IMG]
     
  9. deathfisaro

    Member deathfisaro Narcistic Deathfisaro Fan

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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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