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?

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In total station observations, reverse mode zenith angles are obtained by subtracting the direct mode reading from $360^\circ$.
Updated On: Apr 17, 2025
  • $264^\circ13'56''$
  • $05^\circ46'04''$
  • $275^\circ46'04''$
  • $185^\circ46'04''$
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The Correct Option is C

Solution and Explanation

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: \[ \boxed{275^\circ46'04''} \]
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