Question

When conducting a survey using a total station, a zenith angle is measured as $84^\circ13'56''$ in the direct mode. What is the equivalent zenith angle in the reverse mode?

• A. $264^\circ13'56''$
• B. $05^\circ46'04''$
• C. $275^\circ46'04''$
• D. $185^\circ46'04''$

Hint:

In total station observations, reverse mode zenith angles are obtained by subtracting the direct mode reading from $360^\circ$.

Answer 1

The Correct Option is C

The zenith angle in the reverse mode ($Z_R$) is calculated using the formula: \[ Z_R = 360^\circ - Z_D \] where $Z_D$ is the zenith angle measured in direct mode. Given: \[ Z_D = 84^\circ13'56'' \] \[ Z_R = 360^\circ - 84^\circ13'56'' = 275^\circ46'04'' \] Hence, the correct equivalent reverse mode zenith angle is: \[ \boxed{275^\circ46'04''} \]