Calculation example - Calculate the Bearing Angle of any Baseline of a Traverse Network (Third Fundamental Surveying Problem)

Calculate the bearing angle of any line connecting consecutive points of a traverse framework.

Calculate the bearing angle of any line connecting consecutive points of a traverse framework.

Known values: Bearing angle G₀₁ and Deflection angles β₁, β₂, β₃, β₄,...., β_η-2, β_η-1

Result: Bearing angle G_(n-1)-n

Solution

Considering that the requested angle should get a value between 0 grad and 400 grad, integral circumference multiples are abstracted:

where K integer so that the numeric expression preceding K*400 decreases as many times so the Bearing angle numeric result stands between 0 and 400 grads.