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Latitudes anyone?

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(@scott-zelenak)
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The "Depends" crowd should like this one...

This morning the question I posed to a crew chief was;
What latitude is half the distance from the equator to the pole?

I like being mean before I've had my coffee...

 
Posted : February 18, 2016 9:38 am
(@moe-shetty)
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oh, nice 'stumper'

 
Posted : February 18, 2016 9:49 am
(@brad-ott)
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:bad:

 
Posted : February 18, 2016 10:00 am
(@tom-adams)
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Scott Zelenak, post: 358467, member: 327 wrote: The "Depends" crowd should like this one...

This morning the question I posed to a crew chief was;
What latitude is half the distance from the equator to the pole?

I like being mean before I've had my coffee...

Like being "mean"? Is that a hint?

 
Posted : February 18, 2016 10:04 am
(@mathteacher)
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Ground or grid?

 
Posted : February 18, 2016 10:07 am
(@va-ls-2867)
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Which pole? North, South or prism =)

 
Posted : February 18, 2016 10:45 am
(@moe-shetty)
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every 'plane' of latitude passes through earth's pole, so one answer could be seen as none of the latitudes

 
Posted : February 18, 2016 10:48 am
(@bgraham)
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You live on a transverse earth maybe?

 
Posted : February 18, 2016 2:24 pm
(@bill93)
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gschrock, post: 358472, member: 556 wrote: 45 8' 45.7" and a nice roadside marker in Wisconsin

I tried it using NGS programs Forward and Inverse and get 45 08 39.54374 with distances on the ellipsoid of 5000982.8645 meters.

How hard is the math to calculate this without using those tools?

 
Posted : February 18, 2016 7:49 pm
(@john-nolton)
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So no one wants to say what ellipsoid they are working on. It sure was NOT stated in the original post. Also what accuracy in
the answer do you want? (also NOT stated in the original post; I guess we just guess?).

JOHN NOLTON

 
Posted : February 18, 2016 8:56 pm
(@scott-zelenak)
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John the point was to coax just those type of perceptive questions out of the crew chief.
And to make the crew realize that the obvious answer (45 degrees, in this case) is often incorrect upon some considered thought.
And I get 45d 08' 45".3279 on Clarke 1866 Spheroid after three iterations.

 
Posted : February 19, 2016 4:28 am
(@brad-ott)
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:good:

 
Posted : February 19, 2016 4:44 am
(@tom-adams)
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If you ask someone the question, off the top of their head, answering 45å¼ seems like a correct answer, and especially if they don't try to claim a precision to the nearest minute or second.

However, I never thought about it, and would probably never have calculated something on the Clark spheroid.

 
Posted : February 19, 2016 4:49 am
(@john-hamilton)
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An interesting fact is that the meter (in the US, metre everywhere else) was originally designed to be 1/10,000,000 of the distance from the equator to the pole. As John Nolton notes this distance varies according to what ellipsoid is used. The actual distance on GRS80 is 10,001,965.729, and on Clarke1866 is 10,001,888.043. So, I'm taking the Clarke1866 route, it is shorter.

The "excess" is due to a miscalculation of the flattening in the 18th century. Still, pretty amazing that they came that close in the 1790's. The "error" is about 0.2 mm per meter.

 
Posted : February 19, 2016 5:26 am
(@jim-in-az)
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Moe Shetty, post: 358488, member: 138 wrote: every 'plane' of latitude passes through earth's pole, so one answer could be seen as none of the latitudes

Eh?

 
Posted : February 19, 2016 5:42 am
 rfc
(@rfc)
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Moe Shetty, post: 358488, member: 138 wrote: every 'plane' of latitude passes through earth's pole, so one answer could be seen as none of the latitudes

Yes, except that the generally accepted definition of "Latitude", as used in this context, defines the angular distance north or south from the equator of a point on the earth's surface, measured on the meridian of the point.

What I'd like to know is whether the question refers to the distance along the surface of the earth from either the pole or the equator, or the straight line distance. And are they proportionally the same?

 
Posted : February 19, 2016 6:21 am
(@tom-adams)
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rfc, post: 358625, member: 8882 wrote: Yes, except that the generally accepted definition of "Latitude", as used in this context, defines the angular distance north or south from the equator of a point on the earth's surface, measured on the meridian of the point.

What I'd like to know is whether the question refers to the distance along the surface of the earth from either the pole or the equator, or the straight line distance. And are they proportionally the same?

er....ahem...the appropriate response is "yuk yuk yuk"......(or lol or ha ha ha) 😉

 
Posted : February 19, 2016 6:25 am
(@flga-2-2-2-2-2-2-2-2)
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"The "Depends" crowd should like this one..."

If it's anywhere near 45 degrees It's waaaaaay to damn cold! 😉

 
Posted : February 19, 2016 7:00 am
(@brian-allen)
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Obviously you "not-the-45th-parallel" theorists have never seen the highway signs. 😀

Google "45th parallel signs".

 
Posted : February 19, 2016 7:37 am
(@tom-adams)
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FL/GA PLS., post: 358639, member: 379 wrote: "The "Depends" crowd should like this one..."

If it's anywhere near 45 degrees It's waaaaaay to damn cold! 😉

It's 45å¼ Celsius.....113å¼F. Sorry for the confusion.

 
Posted : February 19, 2016 7:43 am
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