Problem (1)
Given the level circuit below, what are the adjusted elevations and their expected errors for points A and B? Compute to both to 0.001 ft.
Obs | dElev (ft) | Len^{*} (ft) | Obs | dElev (ft) | Len^{*} (ft) | |
1 | +3.28 | 625 | 4 | -2.48 | 1100 | |
2 | -11.81 | 800 | 5 | -11.85 | 750 | |
3 | +14.51 | 550 | 6 | +8.58 | 375 |
^{*}Len is the sum of the backsight and foresite distances for the observation run.
Solution: Least Squares Prob 1
Problem (2)
What are the sizes of the [C] and [K] matrices for the following horizontal network?
Solution: Least Squares Prob 2
Problem (3)
Given the horizontal network below:
The initial coordinates of point W are estimated.
Create the [C] and [K] matrices.
Solution: Least Squares Prob 3
Problem (4)
The following traverse was adjusted by least squares to determine the coordinates of points G and H.
Final coordinates of G and H are:
Point | North | East |
G | 4,958.913 | 917.702 |
H | 5,067.094 | 1,252.311 |
Matrices from the final iteration of the adjustment are:
Compute:
(a) Expected uncertainties of the adjusted coordinates.
(b) Adjusted observations.
(c) Parameters of the standard and 95% CI error ellipsii at each adjusted point.
Solution: Solution: Least Squares Prob 4