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- The DBA finds that long distances generate values equal to or insignificantly

ID: 3582658 • Letter: #

Question

- The DBA finds that long distances generate values equal to or insignificantly varying from the expected results, while short distances generate significant errors, which are increasingly inaccurate as points that lie closer together are tested. This is due to the Law of Averages, in which uncertainty tends to cancel out for large measurements, but which can be significant and skew results when measuring very small quantities.
       - The DBA finds that short distances generate values equal to or insignificantly varying from expected results, while long distances generate significant errors, which increase with the distance. This is because the distances calculated reside on a curved surface, the earth’s roughly spheroidal surface, rather than points on a planar surface. Since the amount of curvature is smaller over short distances, the errors for short distances are often insignificant.
       - The DBA finds that the distance calculation for points with large latitudinal displacement (y-variance, or North to South differences) produce significant errors, without respect to the longitudinal difference (x-variance, or East to West differences), while points with large longitudinal displacement produce no significant errors. This is because the distance between longitudinal lines becomes closer together as you move away from the equator and close to the poles.
       - The DBA finds that testing using a result set of coordinates of varying known short and long distances is invariant from expected results. This is because the Pythagorean Theorem is universally applicable across planar and non-planar surfaces.

A DBA is designing a spatially-enabled database to determine the distance from a customer’s location at point 1 (x1, y1), to the company’s distribution center at point 2 (x2, y2), in order to automatically provide the customer with a delivery cost estimate for the company’s products, which are delivered by company truck, based on a fixed cost-per-mile. Using the Pythagorean Theorem, the DBA creates a shipDistance(x1, y1, x2, y2) function that uses the following formula as the basis for its calculation:

shipDistance = ((x2-x1)^2 + (y2-y1)^2)^0.5

What, if any, problems will be revealed by the DBA’s careful testing of this function using known points and distances to validate the software’s correct functioning? Select one of the following:

Explanation / Answer

Answer.

Here, we can generate shipDistance from the given formula.
However this formula is fully based on the point coordinates and pythogorean theorem.
I would like to reveal some problems related to second point which curvature issue.
Here when we put points to the plot we can find distance between the coordinates. Real issues comes with long distance point. As we are working in actual scenario in which eatch is curve not planner. So that as distance increases also it will create ample amount of curvature in that of distance. That's why we have to several satellite to capture most of the part.
So here problem arrives that what amount of curvature involves and which leads to what amount of extra distance to be added.
Short distance have significant benifit and accurate result with it as it does not involve curvature part for the smaller distance.Amount of curvature is smaller over short distaces but large over larger distances.