Discussion
If the departure and latitude of a line during Theodolite survey are 70.03 m and -100 m, respectively, the whole circle bearing of this line in degree is
Answer: D
The whole circle bearing is 145°.
A positive departure means the line goes east, and a negative latitude means it goes south, so the line lies in the south-east quadrant (between 90° and 180°). The reduced bearing from south is
\[ \tan^{-1}\frac{70.03}{100} \approx 35^{\circ} \]
so the whole circle bearing, measured clockwise from north, is \(180^{\circ} - 35^{\circ} = 145^{\circ}\). 55° and 125° are \(90^{\circ} \mp 35^{\circ}\), which measure from the east-west line, and 135° would need equal departure and latitude.
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