# Solving the missing data for this Traverse

• raiderUM
In summary, the conversation is discussing a question about a traverse, where the data for the line, distance, and bearings are given for each point except for three "?" representing missing data. The person asking the question is trying to understand how to solve the problem mathematically and is seeking guidance on how to start. The other person suggests making a sketch of the vectors and using trigonometry to solve the equations for the unknowns.
raiderUM

## Homework Statement

Line distance bearing
AB 164.96 N 71.12.01 E
BC 88.43 ?
CD ? S 44.16.51 W
DE 115.86 N 68.47.34 W
EA 68.41 N 7.20.24 W

## Homework Equations

I know how to find Latitude and Departure after converting Bearing into AZ= Distance*cos(AZ) for lat and Distance*sin(AZ) for departure, but I don't know where to begin on this problem... please help point me in the right direction!

## The Attempt at a Solution

Your textbook would have explained the question quite clearly. So I'm wondering why have you omitted this explanation? Check that what you have represented by ? are precisely correct. In this line, what possibilities are there that the ? can represent: BC 88.43 ?

Did you invent this header, or did your textbook really use this: Line distance bearing

This is not a question out of a textbook. What I have posted is the only data I have to close the traverse, and the "Line distance bearing" represents three different columns headings used to describe the data below. The "?" are the missing pieces of data that are needed to close the traverse. What I'm trying to figure out is what would help me find the information needed to solve this mathematically.

raiderUM said:
This is not a question out of a textbook.

Where did you get the question from? Your data doesn't make sense.

How does the data not make sense? The question is from a test. "Line" AB has a "distance" of 164.96 and a "bearing" of N 71-12-01 E and so on...

It's important to put a lot of effort into getting the diagram correct* before plunging into the calculations. Take 2 sheets of paper (more, actually, because there will be some trial-and-error to get the sketch looking right). On the first sheet, mark point A right on the bottom edge of the page and draw vector AB as a line 71o east of north. and (choosing a scale) of length 164. Mark end point B.

Take the second piece of paper, and, starting somewhere, draw a dotted line 44o west of south and of any length (since we don't know its length). Mark end D. At point D, draw vector DE, then draw EA. If some of this runs off the page, throw it away and start again.

When finished sketching the vectors, overlap the pages so that both points A coincide, and give zero misclose of the figure. You can now sketch in a vector BC. We can't precisely locate point C, so sketch it as best you can.

Now, use your trig skills to derive equations for the sum of the "latitudes", and equate this to 0. Similarly for the total departures. When you encounter any unknowns, assign them a letter of the alphabet.

That should get you started.

* and if you're male it's doubly important, because the male brain is highly visual

## 1. What is missing data in a traverse?

Missing data in a traverse refers to any data points or measurements that were not recorded or obtained during the surveying process. This can be due to a variety of reasons, such as equipment malfunctions, human error, or physical obstacles.

## 2. How can missing data affect the accuracy of a traverse?

Missing data can greatly affect the accuracy of a traverse by creating gaps or inconsistencies in the collected data. This can lead to incorrect calculations and measurements, resulting in an inaccurate representation of the surveyed area.

## 3. How do you identify and locate missing data in a traverse?

Missing data can be identified by analyzing the collected data and looking for any gaps or inconsistencies. These can then be located by comparing the data with the expected results and using interpolation or other methods to fill in the missing values.

## 4. What are some techniques for solving missing data in a traverse?

There are several techniques for solving missing data in a traverse, including interpolation, extrapolation, and estimation. These methods involve using the available data to make educated guesses or approximations for the missing values.

## 5. How can the accuracy of a traverse be improved when dealing with missing data?

The accuracy of a traverse can be improved by taking preventative measures to minimize the occurrence of missing data, such as regularly calibrating equipment and using redundant measurements. Additionally, careful data analysis and the use of appropriate techniques for solving missing data can also improve accuracy.

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