Question:

The height of the instrument is equal to:

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HI = RL (BM) + Back Sight — a base rule in leveling!
Updated On: Jun 12, 2025
  • back sight + fore sight
  • RL of benchmark + fore sight
  • RL of benchmark + intermediate sight
  • RL of benchmark + back sight
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The Correct Option is D

Solution and Explanation

The calculation of the height of the instrument (HI) in surveying is an important part of leveling. The HI is determined by the formula:
HI = RL of benchmark + back sight

Where:

  • RL of benchmark: This is the reduced level of a known reference point, called the benchmark. It serves as the starting elevation data for the survey.
  • Back sight (BS): This is the reading taken on a leveling rod held on the benchmark. It helps establish the height of the instrument above the benchmark.

Given the options:

  • back sight + fore sight: This combination is incorrect as it involves observations to calculate the reduced level at a new point, not the HI.
  • RL of benchmark + fore sight: This is incorrect because the fore sight is used to determine the reduced level of a new survey point, not to calculate HI.
  • RL of benchmark + intermediate sight: This is not correct as the intermediate sight is for calculating reduced levels at points between backsight and fore sight on the leveling route.
  • RL of benchmark + back sight: This is the correct relationship used to compute the height of the instrument above the benchmark.

Hence, the correct answer is RL of benchmark + back sight.

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