Surveyors use hundredth of a foot...unless some reason not to. Surveying with a Plane Table and alidade is rarely more precise than to the foot or tenth. Surveying wit a theodolite might be hundreds of a foot...BUT they always have a closure error unless extremely lucky. They may survey a line, then back survey as a check of accuracy. Architects use fractional inches here. When I was a tech draftsman (back in the old LeRoi Lettering days) plans were rarely more precise than a quarter inch, but landscape plans rarely were more precise than an inch, sometimes simply a foot. Laying out waterlines and sewer, again we used a foot when estimating the cubic yard of material necessary to dig footings etc. I saw a surveyor get busted to instrument man and a rod man get fired (for no reason) when the supervisor set the surveyors on the wrong stake - The engineer for the project discovered the error, he went berserk. Type A - like so many engineers. Died a few years later having a stroke at 40 some years age.
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Land surveyors pride themselves on their measurements. After all, what would be the purpose of commissioning a land survey if the bearings, distances, and areas on the map were not correct? But the simple fact is that no measurement is perfect. So the real question is not “is the survey accurate?” – but instead “how much error is contained in each measurement?” As any good lawyer would respond: it depends!