An engineer is tasked to measure a whole line multiple time. Since the length of the line is significantly longer than the steel tape, the engineer decided to measure the line in three segments. First, the engineer measures a 50m known line using the steel tape and find out that the tape is too long with the observation having only 49.2m. With these values, the correction factor of ???? = 50? − 49.2?. After determining such corrections for future calibration, the engineer measured each segments. The following are the observations: 1st Segment: 46.2m, 46.3m, 46.5m; 2nd Segment: 48.3m, 48.2m, 48.1m; 3rd Segment: 32.3m, 32.6m, 32.4m. Determine the complete expression of the most probable value (together with probable error) of the line.
The solutions and answers should have minimum of 3 decimals for linear measurements and should be in Degree-Minute-Seconds (2 decimals for seconds) for angular measurement, if not whole number.
An engineer is tasked to measure a whole line multiple time. Since the length of the line is significantly longer than the steel tape, the engineer decided to measure the line in three segments. First, the engineer measures a 50m known line using the steel tape and find out that the tape is too long with the observation having only 49.2m. With these values, the correction factor of ???? = 50? − 49.2?. After determining such corrections for future calibration, the engineer measured each segments. The following are the observations: 1st Segment: 46.2m, 46.3m, 46.5m; 2nd Segment: 48.3m, 48.2m, 48.1m; 3rd Segment: 32.3m, 32.6m, 32.4m. Determine the complete expression of the most probable value (together with probable error) of the line.
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