In the following figure, A and B are fixed points with known plane rectangular coordinates. C and D are the new points in the control survey whose coordinates are to be determined. For this network, the surveyor has measured all 8 internal angles (1 to 8) and 5 sides BC, CD, DA, AC and BD. The value of redundancy (r) for the given figure will be equal to ................. (In integer).
In the following figure, A and B are fixed points with known plane rectangular coordinates. C and D are the new points in the control survey whose coordinates are to be determined. For this network, the surveyor has measured all 8 internal angles (1 to 8) and 5 sides BC, CD, DA, AC and BD. The value of redundancy (r) for the given figure will be equal to ................. (In integer).
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Solution and Explanation
Here points \(A,B\) are fixed (coordinates known). Unknowns are the coordinates of \(C\) and \(D\): \(x_C,y_C,x_D,y_D⇒ u=4\).
Observations measured: all \(8\) internal angles and \(5\) sides \((BC,CD,DA,AC,BD)⇒ m=8+5=13\).
Therefore, \[ r = m-u = 13-4 = 9. \] \[ \boxed{9} \]
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