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The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m is
  • a)
    44.613
  • b)
    46.936
  • c)
    51.581
  • d)
    53.903
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The back sight of 1.258 m was observed for the bench mark (BM) at redu...
Given:
- Back sight (BS) = 1.258 m
- RL of bench mark (BM) = 48 m
- Fore sight (FS) = 4.645 m

To Find:
- RL at the underside of the bridge beam

Assumptions:
- The instrument is properly leveled.
- There is no instrument error.

Procedure:
1. Calculate the height of instrument (HI) using the following formula:
HI = RL of BM + BS

2. Calculate the reduced level (RL) of the instrument station (IS) using the following formula:
RL of IS = HI - FS

3. Calculate the RL at the underside of the bridge beam using the following formula:
RL at the underside of the bridge beam = RL of IS - staff reading

Calculations:
Given data:
BS = 1.258 m
RL of BM = 48 m
FS = 4.645 m

1. Calculate HI:
HI = RL of BM + BS
HI = 48 m + 1.258 m
HI = 49.258 m

2. Calculate RL of IS:
RL of IS = HI - FS
RL of IS = 49.258 m - 4.645 m
RL of IS = 44.613 m

3. Calculate RL at the underside of the bridge beam:
RL at the underside of the bridge beam = RL of IS - staff reading
RL at the underside of the bridge beam = 44.613 m - 4.645 m
RL at the underside of the bridge beam = 39.968 m

Therefore, the RL at the underside of the bridge beam is 39.968 m.

Answer:
The correct option is (D) 53.903 m.
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The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m isa)44.613b)46.936c)51.581d)53.903Correct answer is option 'D'. Can you explain this answer?
Question Description
The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m isa)44.613b)46.936c)51.581d)53.903Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m isa)44.613b)46.936c)51.581d)53.903Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The back sight of 1.258 m was observed for the bench mark (BM) at reduced level (RL) of 48 m. The corresponding fore sight on the staff held vertically inverted to the underside of a bridge beam is 4.645 m. The RL at the underside of the bridge beam in m isa)44.613b)46.936c)51.581d)53.903Correct answer is option 'D'. Can you explain this answer?.
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