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A line between stations P and Q laid on a slope of 1 in 5 was measured as 350 m using a 50 m tape. The tape is known to be short by 0.1 m. The corrected horizontal length (in m) of the line PQ will be:
  • GATE CE - 2022
  • GATE CE
  • Geomatics Engineering
  • Errors and their adjustment

A horizontal angle \( \theta \) is measured by four different surveyors multiple times and the values reported are given below. 

\[ \begin{array}{|c|c|c|} \hline \text{Surveyor} & \text{Angle \( \theta \)} & \text{Number of observations} \\ \hline 1 & 36^\circ 30' & 4 \\ 2 & 36^\circ 00' & 3 \\ 3 & 35^\circ 30' & 8 \\ 4 & 36^\circ 30' & 4 \\ \hline \end{array} \] 

The most probable value of the angle \( \theta \) (in degree, round off to two decimal places) is \(\underline{\hspace{1cm}}\). 
 

  • GATE CE - 2021
  • GATE CE
  • Geomatics Engineering
  • Errors and their adjustment