My geographic coordinates are N 39.xx37, W 89.xx34.
If I wanted to draw, on a map, every possible location where I could be (in other words, draw a map of all possible values for x), what would the map look like? A grid? A rectangle?
This seems like a simple and straightforward exercise, but I’m having a hard time wrapping my brain around it.
Thanks!
You could be at 39.0037N, 39.0137N,39.0237N…39.9937N.
The same with the West coordinate.
That’s a “rectangular” grid of points, each point will be 1/100 of a degree apart. I say “rectangular” because it’s mapping a spherical set of coordinates to a flat map, and so it depends on your projection method. But, for a 1° range of values (69 miles or so), it should be pretty square.
yep, a spherical “grid” of points, bounded by about 39-40N, 89-90W, somewhere in the middle of Illinois?
“What would a map look like if you used this formula for the coordinates?”
“Using this formula, what would the resulting map be?”
“Formula to produce coordinates … resulting map?”
[smiley face]
Do the two sets of “xx” need to be the same? If they need to be the same, then it would be a set of 100 points:
N 39.0037, W 89.0034
N 39.0137, W 89.0134
N 39.0237, W 89.0234
N 39.0337, W 89.0334
and so on, continuing in a northwesterly direction until and including
N 39.9937, W 89.9934.
If they can be different, then it would be a grid of 100 rows, with 100 points in each row, as the other posters described.
If it were at the equator, or even close to it, yes. but at 39 N the northern and southern sides will be much shorter than the eastern and western. And while the eastern and western will be equal or nearly equal, the southern will be noticeably longer than the northern. The closest description I’d use is “trapezoid”.
Are you sure about that? The length of the northern border of the shape, between 39.9937 N 89.9934 W and 39.9937 N 89.0034 W, is about 52.5 miles. The length of the southern border, between 39.0037 N 89.9934 W and 39.0037 N 89.0034 W, is about 53.6 miles. That’s a difference of about 2 percent. That doesn’t seem all that skewed from a rectangle in my opinion.
For what it’s worth, here’s a map of the outer area in question:
Oddly enough, I’ve crossed that area from east to west as well as from north to south.