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

(a) Expected uncertainties of the adjusted coordinates.

Residuals are computed from [V] = [CU] - [K]

Since the [U] elements are all zero, [V] = -[K]

 

(b) Adjusted observations.

Add the [V] matrix elements to the corresponding field measurements to get the adjusted observations.

 

(c) Standard and 95% CI error eliipsii

Point G

 

Point H

Error Ellipse Summary

    Std 95% CI
Point AzU a b a b
G 9°32'48" 0.0075 0.0066 0.033 0.029
H 12°57'42" 0.0145 0.0084 0.0634 0.037

 

Return to: Self Study: Least Squares

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