Problem:
Given the following observations and control station coordinates to accompany Figure, what are the most probable coordinates and error ellipse for station E using a weighted least squares adjustment?
Control stations
|
Station
|
X (ft)
|
Y (ft)
|
|
A
|
10,000.00
|
10,000.00
|
|
B
|
11,498.58
|
10,065.32
|
|
C
|
12,432.17
|
11,346.19
|
|
D
|
11,490.57
|
12,468.51
|
Angle observations
|
Backside, b
|
Occupied, i
|
Foresight, f
|
Angle
|
S(")
|
|
E
|
A
|
B
|
90o59'57"
|
5.3
|
|
A
|
B
|
E
|
40o26'02"
|
4.7
|
|
E
|
B
|
C
|
88o08'55"
|
4.9
|
|
B
|
C
|
E
|
52o45'02"
|
4.7
|
|
E
|
C
|
D
|
51o09'55"
|
4.8
|
|
C
|
D
|
E
|
93o13'14"
|
5.0
|