# Thread: If I go 2 miles due north, then 2 miles due west, then 2 miles due south....

1. ## If I go 2 miles due north, then 2 miles due west, then 2 miles due south....

and arrive back at my starting point, where did I start from?

-assume I am on earth, and it is spherical (contrary to what many miscers seem to think). Also answer need only be approximate. Meager reps to first full answer.

2. South Pole

3. West pole

4. East pole

5. Gonna need more information. You have to take into account the Earths rotation into this equation. Also what time of day is it? Low or high tide?

6. North pole

7. Equator.

8. Originally Posted by Unstumpable
Gonna need more information. You have to take into account the Earths rotation into this equation. Also what time of day is it? Low or high tide?
Ah. Distances are with respect to the earth, as usual.

Correct full answer has not been given

9. My pole.

Greenwich Village.

10. South Pole or within 2 miles south of the North Pole. That chit work op? Not gonna do math since I’m on that lazy corona time but it’s something like that. For the second solution you walk 2 miles walk west in a circle, the circumference depending on how far south you started then go back to where you started.

11. the west part throws off the whole idea. you can’t arrive at the same starting point since you will always be two miles west of where you began. the north and south adjustments cancel each other out

12. South Pole

13. Originally Posted by dingler
South Pole or within 2 miles south of the North Pole. That chit work op?
Good thought. The only thing is if you start 2 miles south of the North Pole, then go 2 miles north.....you'd be at the North Pole then, and there is no way you could go 2 miles due west. The direction west wouldn't make sense if you are standing at the North Pole- what would it mean to go 2 miles in the west direction from there?

Edit: nvrm I now see you are saying within 2 miles. It still wouldn't work, because then you couldn't go 2 miles North. Once you hit the North Pole, you'd be going south then.

So it is established the South Pole is one possible answer. There are others.

14. Originally Posted by numberguy12
Good thought. The only thing is if you start 2 miles south of the North Pole, then go 2 miles north.....you'd be at the North Pole then, and there is no way you could go 2 miles due west. The direction west wouldn't make sense if you are standing at the North Pole- what would it mean to go 2 miles in the west direction from there?

Read my edit: I guess it would have to be more like a mile south of the North Pole so you would do a 2 mile western circle then go back south. It would have to work out that the end of your two mile journey puts you back where you ended your 2 mile northward journey so you can walk two miles back south. Probably several solutions.

15. OP right now:

16. Guess it depends on how fast you where walking so unless that component is available then who the fuk knows where you started.

17. Originally Posted by dingler
Read my edit: I guess it would have to be more like a mile south of the North Pole so you would do a 2 mile western circle then go back south. It would have to work out that the end of your two mile journey puts you back where you ended your 2 mile northward journey so you can walk two miles back south. Probably several solutions.
If you start out a mile south of the North Pole, you can't go 2 miles due North, which the problem says. After the first mile, you couldn't keep going North.

I like the train of thought though.

Originally Posted by DstryEvrytng
Guess it depends on how fast you where walking so unless that component is available then who the fuk knows where you started.
Speed does not matter

18. Fuk bro got it! South Pole and.... there are essentially an infinite amount of solutions by the north pole. You have to start at least more than 2 miles south of the North Pole, not sure of the upper bound since I don’t want to do math. Let’s say you start 2.1 miles south of the North Pole. Walk north 2 miles walk in a circle to the west, in this case with a diameter of .2 miles a chit ton of times and end back at the end of your northward journey then walk south. Just draw circle with a circumference that when divided by two miles puts you back at the start of your circle, you would add the radius of that circle to two miles for your starting point south of the North Pole. Then go south.

Reps for this question

19. So when do we start, Elon?

20. peter north

21. Originally Posted by r0bo
peter north
We got beer can now...

22. If the Earth is a sphere, you could be anywhere.

23. Originally Posted by dingler
Fuk bro got it! South Pole and.... there are essentially an infinite amount of solutions by the north pole. You have to start at least more than 2 miles south of the North Pole, not sure of the upper bound since I don’t want to do math. Let’s say you start 2.1 miles south of the North Pole. Walk north 2 miles walk in a circle to the west, in this case with a diameter of .2 miles a chit ton of times and end back at the end of your northward journey then walk south. Just draw circle with a circumference that when divided by two miles puts you back at the start of your circle, you would add the radius of that circle to two miles for your starting point south of the North Pole. Then go south.

Reps for this question
Repping this answer, gjdm. The reasoning is good and essentially all there. Like you said, the only thing missing is the particular numbers from math.

One answer is the South Pole.

There are also an infinite number of answers up near the North Pole as described above. If anyone wants to specifically give an answer, feel free to.

To use the suggestion above: 2.1 north 2 miles puts you at .1 mile to the pole (take this .1 as the approximate radius: due to earth curvature, it's really not, but at these distances, earth curvature is very minuscule). Circumference then = 2pi*r = 2*pi*.1 = .628. So this wouldn't work, because you would make the trip around this circle 3.183 times, which wouldn't put you back at the starting point, needs to be a whole number of times. Again, the reasoning is correct though.

Originally Posted by Hutrapper
So when do we start, Elon?
Ha. Aware

Full solution:
Spoiler!

25. Originally Posted by numberguy12
Repping this answer, gjdm. The reasoning is good and essentially all there. Like you said, the only thing missing is the particular numbers from math.

One answer is the South Pole.

There are also an infinite number of answers up near the North Pole as described above. If anyone wants to specifically give an answer, feel free to.

To use the suggestion above: 2.1 north 2 miles puts you at .1 mile to the pole (take this .1 as the approximate radius: due to earth curvature, it's really not, but at these distances, earth curvature is very minuscule). Circumference then = 2pi*r = 2*pi*.1 = .628. So this wouldn't work, because you would make the trip around this circle 3.183 times, which wouldn't put you back at the starting point, needs to be a whole number of times. Again, the reasoning is correct though.

Ha. Aware
phucking nerd gtfo

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