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Question (g): State what the following initials stand for as used in survey
i) IS: Intermediate Sight
ii) CP: Change Point
iii) TBM: Temporary Bench Mark
iv) VI: Vertical Interval
Question Two (15 Marks)
a) The above figure represents Mrs Chebukatis piece of land in Bukura Kabati village. She has approached you as an expert to assist her determine her land area in:
The figure shows a baseline divided into 6 equal intervals of 9 m each, making the total baseline length 6×9=54 m. There are 7 offsets given: O1=7,O2=12,O3=15,O4=20,O5=12,O6=13,O7=9.
We will use Simpson's Rule to calculate the area. The common interval W=9 m.
The formula for Simpson's Rule is:
A=3W[(O1+On)+4(sumofevenoffsets)+2(sumofremainingoddoffsets)]
Step 1: Identify the offsets and common interval.
W=9 m
O1=7 m
O2=12 m
O3=15 m
O4=20 m
O5=12 m
O6=13 m
O7=9 m
Step 2: Calculate the sum of the first and last offsets.
O1+O7=7+9=16m
Step 3: Calculate the sum of the even offsets.
O2+O4+O6=12+20+13=45m
Step 4: Calculate the sum of the remaining odd offsets (excluding the first and last).
O3+O5=15+12=27m
Step 5: Apply Simpson's Rule to find the area in M2.
A=39[(16)+4(45)+2(27)]
A=3[16+180+54]
A=3[250]
A=750m2
i) Area in M2: 750m2
Step 6: Convert the area to Acres.
Given that 1acre=4046.86m2.
AreainAcres=4046.86m2/acre750m2
AreainAcres≈0.1853acres
ii) Area in Acres: 0.1853acres
Step 7: Convert the area to Hectares.
Given that 1hectare=10000m2.
AreainHectares=10000m2/hectare750m2
AreainHectares=0.075hectares
iii) Area in Hectares: 0.075hectares
b) Below is the data collected during chain survey carried out at Bukura Agricultural College main farm by survey students
Area they calculated was 4.5 acres
Distance they recorded using a chain length of 29.5m was 340m
If the length of their standard chain was 30m, calculate;
i) The correct distance in Meters
Step 1: Use the formula for correct distance.
CorrectDistance=RecordedDistance×StandardChainLengthFaultyChainLength
Step 2: Substitute the given values.
CorrectDistance=340m×30m29.5m
CorrectDistance=340×0.98333...
CorrectDistance≈334.33m
The correct distance in Meters is 334.33m.
ii) The correct area in Hectares
Step 1: Use the formula for correct area.
CorrectArea=CalculatedArea×(StandardChainLengthFaultyChainLength)2
Step 2: Substitute the given values.
CorrectArea=4.5acres×(30m29.5m)2
CorrectArea=4.5×(0.98333...)2
CorrectArea=4.5×0.966944...
CorrectArea≈4.35125acres
Step 3: Convert the correct area from acres to hectares.
Given that 1acre=0.404686 hectares.
CorrectAreainHectares=4.35125acres×0.404686acrehectares
CorrectAreainHectares≈1.7616hectares
The correct area in Hectares is 1.76hectares.
Question Three (a):
The question is incomplete as the table of data for the levelling exercise is cut off. Please provide the full table and the specific questions related to it for me to solve.
Send me the next one 📸