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A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is _________
    Correct answer is '100'. Can you explain this answer?
    Verified Answer
    A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m ...


    2x = 2.8
    x = 1.4m
    H.O.I = 100 + 1.4
    = 101.4m
    RL of theodelite station = 101.4 – theodolite hight
    = 101.4 – 1.4
    = 100m
    View all questions of this test
    Most Upvoted Answer
    A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m ...
    Problem: Find the reduced level of the theodolite station.

    Given:

    • BM RL = 100.000 m

    • Horizontal distance between BM and theodolite station = 50 m

    • Height of instrument = 1.400 m

    • Staff readings at 0.400 m and 2.400 m are the same



    Solution:

    1. First, we need to find the height of the staff at the theodolite station.

      • Let the height of the staff at the theodolite station be h.

      • Then, the vertical angle from the horizontal at the staff reading of 0.400 m is given by:




      • Similarly, the vertical angle from the horizontal at the staff reading of 2.400 m is given by:




    2. Since the vertical angles at both staff readings are the same, we can equate them:










    1. Now, we can find the reduced level of the theodolite station.
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      A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is _________Correct answer is '100'. Can you explain this answer?
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      A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is _________Correct answer is '100'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is _________Correct answer is '100'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is _________Correct answer is '100'. Can you explain this answer?.
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