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Answer :
Sure! Let's break down each part of this question step-by-step.
Question 1: Unfortunately, we don't have enough information to calculate the gap of RL based on the provided data. Therefore, we can't determine the answer for this part.
Question 2: We need to calculate the difference in elevation between two points using a two-peg test. Here are the readings:
- First setup (Instrument at midpoint):
- Reading on point A = 6.350
- Reading on point B = 4.700
- Second setup (Instrument at B):
- Reading on point A = 4.570
- Reading on point B = 2.900
To find the difference in elevation between points A and B, we use the formula:
[tex]\[ \text{Difference in elevation} = (\text{Reading on A from first setup} - \text{Reading on A from second setup}) + (\text{Reading on B from second setup} - \text{Reading on B from first setup}) \][/tex]
Putting in the values we have:
[tex]\[ \text{Difference in elevation} = (6.350 - 4.570) + (2.900 - 4.700) \][/tex]
[tex]\[ \text{Difference in elevation} = 1.780 - 1.800 \][/tex]
[tex]\[ \text{Difference in elevation} = -0.020 \][/tex]
So, the difference in elevation between the two points is [tex]\(-0.020\)[/tex].
Question 3: We need to calculate the height of the instrument given the readings:
- Temporary Bench Mark (TBM) height = 43.500
- Backsight reading (first reading) = 1.320
- Foresight reading (last reading) = 0.670
We use the formula to find the Height of Instrument (HI):
[tex]\[ \text{Height of Instrument} = \text{Temporary Bench Mark (TBM)} + \text{Backsight reading} - \text{Foresight reading} \][/tex]
Substitute the values into the formula:
[tex]\[ \text{Height of Instrument} = 43.500 + 1.320 - 0.670 \][/tex]
[tex]\[ \text{Height of Instrument} = 44.150 \][/tex]
Thus, the height of the instrument is 44.150.
So, to summarize:
- The difference in elevation between the two points is [tex]\(-0.020\)[/tex].
- The height of the instrument is 44.150.
Question 1: Unfortunately, we don't have enough information to calculate the gap of RL based on the provided data. Therefore, we can't determine the answer for this part.
Question 2: We need to calculate the difference in elevation between two points using a two-peg test. Here are the readings:
- First setup (Instrument at midpoint):
- Reading on point A = 6.350
- Reading on point B = 4.700
- Second setup (Instrument at B):
- Reading on point A = 4.570
- Reading on point B = 2.900
To find the difference in elevation between points A and B, we use the formula:
[tex]\[ \text{Difference in elevation} = (\text{Reading on A from first setup} - \text{Reading on A from second setup}) + (\text{Reading on B from second setup} - \text{Reading on B from first setup}) \][/tex]
Putting in the values we have:
[tex]\[ \text{Difference in elevation} = (6.350 - 4.570) + (2.900 - 4.700) \][/tex]
[tex]\[ \text{Difference in elevation} = 1.780 - 1.800 \][/tex]
[tex]\[ \text{Difference in elevation} = -0.020 \][/tex]
So, the difference in elevation between the two points is [tex]\(-0.020\)[/tex].
Question 3: We need to calculate the height of the instrument given the readings:
- Temporary Bench Mark (TBM) height = 43.500
- Backsight reading (first reading) = 1.320
- Foresight reading (last reading) = 0.670
We use the formula to find the Height of Instrument (HI):
[tex]\[ \text{Height of Instrument} = \text{Temporary Bench Mark (TBM)} + \text{Backsight reading} - \text{Foresight reading} \][/tex]
Substitute the values into the formula:
[tex]\[ \text{Height of Instrument} = 43.500 + 1.320 - 0.670 \][/tex]
[tex]\[ \text{Height of Instrument} = 44.150 \][/tex]
Thus, the height of the instrument is 44.150.
So, to summarize:
- The difference in elevation between the two points is [tex]\(-0.020\)[/tex].
- The height of the instrument is 44.150.
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