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Trail Riddles

Grab your bear can or camp chair, kick your feet up and chew the fat about anything Sierra Nevada related that doesn't quite fit in any of the other forums. Within reason, (and the HST rules and guidelines) this is also an anything goes forum. Tell stories, discuss wilderness issues, music, or whatever else the High Sierra stirs up in your mind.
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Re: Trail Riddles

Postby ERIC » Sat Apr 25, 2009 4:35 pm

Strider wrote:Red! (If the bricks were from growing good sinsemilla in the greenhouse.)


lol..yes, I think?
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Re: Trail Riddles

Postby dave54 » Sun Apr 26, 2009 6:24 pm

BSquared wrote:OK:

A guy hikes one mile due south, then one mile due east, at which point he shoots a bear.
He then walks one mile due north, returning to his point of origin.
What color was the bear?


The correct answer is:

Impossible to tell from the facts given. There is more than one place on Earth where that can occur (Yes, there is! Think outside the box.) And polar bears are not native in the other location.
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Re: Trail Riddles

Postby BSquared » Sun Apr 26, 2009 6:47 pm

dave54 wrote:
BSquared wrote:OK:

A guy hikes one mile due south, then one mile due east, at which point he shoots a bear.
He then walks one mile due north, returning to his point of origin.
What color was the bear?


The correct answer is:

Impossible to tell from the facts given. There is more than one place on Earth where that can occur (Yes, there is! Think outside the box.) And polar bears are not native in the other location.


Excellent! I hadn't thought of that (as you obviously knew ;) )! Very cool. I have to admit, though, that calculating exactly where (besides the "inside-the-box" answer) this could happen would require more thought than I'm willing to give it on a Sunday night...

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Re: Trail Riddles

Postby BSquared » Sun Apr 26, 2009 6:53 pm

BSquared wrote:Excellent! I hadn't thought of that (as you obviously knew ;) )! Very cool. I have to admit, though, that calculating exactly where (besides the "inside-the-box" answer) this could happen would require more thought than I'm willing to give it on a Sunday night...


Um... well... it was a good idea, but he does shoot the bear. Now, I suppose one could conceive of various peculiar ways a bear might somehow have managed to get to the alternate location you're thinking of, but they're all pretty improbable. I think the answer I had in mind is actually pretty safe :\

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Re: Trail Riddles

Postby dave54 » Sun Apr 26, 2009 7:51 pm

I just spent a few minutes searching the internet for some constants, and worked up the numbers on a scientific calculator, and I have the answer, subject to the rounding error on my calculator.

Working with cosines out to 10 decimal places leaves my head reeling... :retard:

There are actually a few more locations where it could occur, if you want to circumnavigate the earth two or three times... I'll leave that math to others.

Don't scroll down if you want to work it out yourself.
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Start at 89 degrees, 58 minutes, 59.543 seconds SOUTH, at any longitude. Walk 1 mile south to 89 d, 59m, 51.717s south. If my math is right, the distance is 1 mile around the earth along that parallel of latitude .
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