Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
lattuxs
Group Title
Is there a place on the Earth where you can walk due south, then due east, and finally due north, and end up at the spot where you started?
 2 months ago
 2 months ago
lattuxs Group Title
Is there a place on the Earth where you can walk due south, then due east, and finally due north, and end up at the spot where you started?
 2 months ago
 2 months ago

This Question is Closed

quietus Group TitleBest ResponseYou've already chosen the best response.1
yes ^.^ dw:1404763782069:dw
 2 months ago

quietus Group TitleBest ResponseYou've already chosen the best response.1
my east just means walking around lol
 2 months ago

Data_LG2 Group TitleBest ResponseYou've already chosen the best response.0
yeah I agree, you should start on the equator
 2 months ago

MrNood Group TitleBest ResponseYou've already chosen the best response.1
@data_LG2 No the equator is not correct. Sout will take you along a meridian, then east will take you along a latitiude ton ANOTHER meridian, from where North will NOT take oyu back to where you started. The only correct point is at the North pole where you can do this: dw:1404774360249:dw
 2 months ago

MrNood Group TitleBest ResponseYou've already chosen the best response.1
I suppose more strictly it could be anywhere on the Arctic polar ice cap. If you walk South from any point , then walk ALL around the circle back to where you started tehn North you will end up back where you started: dw:1404774620574:dw
 2 months ago

Data_LG2 Group TitleBest ResponseYou've already chosen the best response.0
oh okay, it took me 30 min to figure this one out. thanks for that explanation though. ^_^
 2 months ago

JFraser Group TitleBest ResponseYou've already chosen the best response.0
the north pole. Walk due south until you hit the equator. Walk due east any distance. Then walk due north again, and you'll end up at the north pole (eventually)
 2 months ago

jrmontgomery Group TitleBest ResponseYou've already chosen the best response.0
Standing on the North Pole all directions are equally south, any direction you head off in is south. Before deciding which direction to head off in the point of the north pole must be analysed in relation to the equator so an equidistant circle of points is imagined as a macro extrapolation of the micro "point" (the north pole). This point is spining. The point of the point to be determined is identical to the east point. If we head off "south" (as all directions are south from the north Pole) via the "east" point, we are simultaneously proceeding in a southerly and easterly direction. Since "south" becomes "east" we have proceeded 1) "south" then 2) "east" and now #) if we do a simple 180 degree tlurnaround we are headed "north", back to where it started
 2 months ago

sweetsunray Group TitleBest ResponseYou've already chosen the best response.1
From the North Pole any direction is South, and whether you walk 5 mins East, or an hour East, going North always brings you back on the North Pole.
 2 months ago

sweetsunray Group TitleBest ResponseYou've already chosen the best response.1
that is every direction North converges to the North Pole.
 2 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
I might have missed this, but @quietus seemed to capture this most correctly, as far as I can tell. All points on the surface of the Earth or general sphere can do this, except for the point that is the south pole. This is because you cannot walk due south when you are as south as possible. Otherwise, you can travel south. Following this, you and do a complete circle by walking east, and you then arrive where you were when you traveled south. By traveling north [as much as you traveled south], you can reach the position at which you started. It seems that the only starting position that is acceptable for any distance traveled east is the north pole. It seems that the distance traveled south must equal the distance traveled north.
 2 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
This full easterly revolution is great for understanding that coordinates in a spherical coordinate system are not unique. For that angle, you can head east by any multiple of \(2\pi\) radians and be at the same point. Traveling south to that point and north back to the starting point will bring you back to your initial position. Thus, you can travel infinite, 'discrete' (I think I can say), distances east for this to work.
 2 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.