@dougie?ÿ
As han said to luke, when luke said this isn't making sense; "It's not that kind of movie".
@bill93?ÿ
That's just it, we don't have enough information. Is that monument intended to be the section corner or is it just a closing corner? It's easy enough for us to look that up outside of the quiz environment, but in the spirit of the question we should be answering under the same conditions as the quiz takers.?ÿ
I'm out, I don't do the PLS.?ÿ We are Colonial here.
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I get these values from computer calculations.?ÿ I'd sure hate to have to do this with a calculator.
14. d. 2624.49?ÿ nearest to calculated 2627.814
15. b. 1233.51 nearest to calculated 1228.503
I don't know how to get any of the given choices.?ÿ
I proportioned the split on the west section line to the GLO distances. I took the falling of 14.70 ch at face value to set the NW corner.?ÿ Proportioning that to the west line ratio (that's who measured it) makes essentially no difference.
16. Discussed earlier, best choice b.
17. NW corner N 15170.2238 E 9997.1828
18. N 1/4: ?ÿ ?ÿ ?ÿ?ÿ N 15171.9062 E 13954.1515
19. SE corner: N?ÿ 9992.3036 E 15277.1154
Anybody else have numbers??ÿ I was hoping to learn something from arguments over this, but there have been only a few serious replies and no numbers.
@bill93?ÿ
For 14, I got 2626.34, so I would choose D as well. I assumed that everything is square, further assuming that assumption would get close enough for a multiple-guess quiz.
Step one: calculate distance from (10000, 10000) to (15273.9862, 12626.3411). 5891.74 ft.
Step two: Using algebra slope concept, calculate the slope between those 2 points. 0.4979803
Step three: The slope of a line is the tangent of the angle between that line and any horizontal (due east) line. Inverse tangent of 0.4979803 is 26.472399 degrees.
Step four: Azimuth of the computed line is 90 - 26.472399 = 63.527601 degrees if the sought line is due north.
Step five: West line = 5891.74cos(63.527601) = 2626.34.
I know that the figures on paper are not square, and I know that I am in far over my head with PLSS calculations, so I gave up after reading the next questions and waxed poetic. No offense intended, but I've watched enough of my own students puzzle over stuff that I meant to be obvious. I've also received many limericks from them worse than the one I shared
It is nice to see rough confirmation of good old algebra, though.
The truth is so obvious here, that I'm ashamed. Here it is:
1.) Proposal
I can survey it for 5-6 thousand.
1/2 down, 1/2 when completed.
Sign here (authorization to procede)
Send $2500, and I'll give you preliminary answer.
It may require field work, to get to the bottom of this.
Thank you for opportunity to serve your needs,
Nate
?ÿwe would file
That being Kansas rules, I suppose.
@bill93?ÿ
Bil there should be no zig zaging unless there are intermediate controlling corners on the standard parallel, the NW and NE corners of 5 are closing corners.?ÿ
Which means you have it easy. In the PLSS states we need to be proficient in both.
It doesn't help much to have computer computation if you type a number in wrong.?ÿ Now I get those first 2 answers within a hundredth.
14. d. 2624.49?ÿ?ÿ calculated 2624.48 ft
15. b. 1233.51 matches to hundredth ft
I proportioned the split on the west section line to the GLO distances. I took the falling of 14.70 ch at face value to set the NW corner.?ÿ Proportioning that to the west line ratio (that's who measured it) makes essentially no difference.
16. Discussed earlier, best choice b.
17. NW corner N 15170.2238 E 9997.1828 ft
18. N 1/4: ?ÿ ?ÿ ?ÿ?ÿ N 15171.0956?ÿ E 12634.954 ft
19. SE corner: N?ÿ 9992.3036 E 15277.1154 ft
Also: distance from line monument to NE corner 50.16 ft
And I still would want to recheck that bearing on the south line of sec 32 is really NE and not SE.
@bill93?ÿ
That is correct.?ÿ I have seen quite a few corner reports with six to 20 reports but only two or three surveyors involved.?ÿ Filed some today for a county and all but three of 25 or so were new information (first time reporting for that corner).?ÿ Some companies simply pull up the most recent corner report, change the job number and date of survey, then print.?ÿ Every reference is identical on a half dozen reports over the past 15 years.
@aliquot easy??ÿ Have you ever tried to recreate the King's Grants??ÿ Try dealing the the mess that sometimes arises with the land granted to William Penn who laid out, perhaps, the first planned city on a grid.?ÿ There is the Philadelphia foot, the US survey foot and, not to mention the various elevation datums.
Yes I have located British, French, Mexican?ÿ and Spanish grants. Both in PLSS states and Colonial States, and in four different countries.?ÿ
The PLSS states are not just rectangles and squares (although some get much closer than others).?ÿ
The point I was making is not that surveying in Colonial States is easy, it's that in PLSS states a well rounded surveyor needs to understand their local equivalent of what you need to know, plus the PLSS.
In general Colonial States have older records to deal with, and that can make things harder, but don't forget that the PLSS includes states like Florida and New Mexico, both of which have records going back to the 16th century.
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@aliquot I guess I am still missing your point.?ÿ There are a ton of things that need to be known in Colonial states, both in the field and in the office.?ÿ If you are deep in the pines of South Jersey you better be able to decipher two hundred year old deed calls, understand historical markings (and what they mean) and so much more.?ÿ I can't comment on how easy or difficult it is to survey in a PLS state because I've never done it, yet, that doesn't make surveying in one or another land system any more or any less complex.
The "easy" in my comment was tounge in cheek. My point was that you have one less thing you need to learn. All boundary surveyors everywhere need to learn their local flavour of metes and bounds boundaries, but PLSS state surveyors need to learn the PLSS on top of that.?ÿ
The PLSS does often make surveys easier than a messy ancient metes and bounds survey. There are times though, that the PLSS can be just as complicated, and there are still messy metes and bounds surveys to deal with in the PLSS states.
I don't think I could answer the question of which is more complex, just that the the PLSS requires a broader knowledge base. In my experience the ancientness of boundaries is conteracted by the heavy occupation and use of land in the Colonial States. The least complex places to survey seem to be the places where heavy land use coinsides with the PLSS (the Planes), but there are things there that increase complexity too, like rivers that errode miles, and original corners buried under dust bowl deposits.?ÿ
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@aliquot You fail to consider that a PLS has to be proficient in the Public Land System to pass the test and answer mathematical questions with double proportionate and the like.?ÿ Just like anything else, if you don't use it you lose it.?ÿ I'm sure that I could get reciprocity licenses in many states outside of the 13 original by taking the state specific tests as well, I know many who have done that but I choose not to because it is outside my comfort zone.?ÿ Hanging another license plaque is meaningless to me but some do it just for the sake of their resume.?ÿ Proficiency is the key, not doing something just because you can.
@bill93?ÿ
I'm still in over my head when it comes to PLSS, but the coordinate aspect of this quiz is enticing.?ÿ
For the Northwest corner, I get (1000.0000, 15170.2141) in (x, y) format. That assumes that the (10000, 10000) point is on a meridian. Given my next-to-nothing knowledge of PLSS, and the nearness of the East line bearing to 90 degrees, that seemed reasonable.
My Northing is within a hundredth of yours, but we're different by nearly 3 feet on the Easting.?ÿ
How did you get the bearing for that line?
So, I make the length of the West line to be 5170.21 feet. If the South end is 2624.49 feet, that leaves 2545.72 feet for the North end. I have no idea how government lots are set, so how do you get to the dimension of lot 4?
Here's a Geogebra drawing of the Northwest corner. It's not sensitive enough to distinguish between the two pieces of the South line of Section 31, so there was a bit of hand calculation involved. Black boxes can't do everything.