This document contains field observation data from a theodolite survey including station lines, interior angles, bearings, coordinates, and calculations of corrected interior angles and coordinates. It lists 10 stations with their line lengths, observed and corrected interior angles, calculated bearings, and total and corrected latitude and departure coordinates. It also shows the calculation of the total interior angle error and equal distribution of the correction to each station interior angle.

1. Theodolite Field Observation Data and its Calculation
STA
TIO
N
LINE LENGTH INTERIOR
ANGLE
CORRECTED
INTERIOR
ANGLE
BEARINGS CALCULATED CORRECTED TOTAL CO-
ORDINATES
LATITUD
E
DEPARTUR
E
LATITUDE DEPARTUR
E
LATITUDE DEPARTURE
1 𝐶𝑃1 − 𝐶𝑃2 58.460 197°37'25'' 197°37'14'' 052°00'00'' 35.990 46.067 36.625 46.497
2 𝐶𝑃2 − 𝐵𝑀1 90.072 142°22'20'' 142°22'09'' 217°03'14'' 11.061 -89.390 12.040 -88.730
3 𝐵𝑀1 − 𝐵𝑀2 84.830 088°54'05'' 088°53'54'' 294°40'28'' 35.413 -77.084 36.335 -76.460
4 𝐵𝑀2 − 𝐵𝑀3 56.080 201°42'20'' 201°42'09'' 257°02'37'' -12.573 -54.652 -11.963 -54.221
5 𝐵𝑀3 − 𝐵𝑀4 94.075 157°30'35'' 157°30'24'' 165°56'31'' -91.257 22.851 -90.234 23.543
6 𝐵𝑀4 − 𝐵𝑀5 68.845 086°26'15'' 086°26'04'' 187°38'40'' -68.233 -9.158 -67.485 -8.651
7 𝐵𝑀5 − 𝐵𝑀6 65.965 148°43'10'' 148°42'59'' 165°09'04'' -63.762 16.904 -63.045 17.389
8 𝐵𝑀6 − 𝐵𝑀7 69.760 162°14'20'' 162°14'09'' 071°35'08'' 22.036 66.188 22.794 66.701
9 𝐵𝑀7 − 𝐵𝑀8 65.685 209°27'55'' 209°27'44'' 040°18'07'' 50.094 42.486 50.808 42.969
10 𝐵𝑀8 − 𝐶𝑃1 79.280 045°03'25'' 045°03'14'' 022°32'16'' 73.255 30.387 74.117 30.970
733.352 m 1440°01'50'' 1440°00'00'' -------------- -7.976 -5.401 ƩL = -0.008 ƩD = 0.007
Correction in 𝑪𝑷 𝟏 − 𝑪𝑷 𝟐:
𝑪 𝑳= 7.976 X
𝟓𝟖.𝟒𝟔𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.635
𝑪 𝑫= 5.401 X
𝟓𝟖.𝟒𝟔𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.430
Correction in 𝑪𝑷 𝟐 − 𝑩𝑴 𝟏 :
𝑪 𝑳= 7.976 X
𝟗𝟎.𝟎𝟕𝟐
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.979
𝑪 𝑫= 5.401 X
𝟗𝟎.𝟎𝟕𝟐
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.663
Correction in 𝑩𝑴 𝟏 − 𝑩𝑴 𝟐 :
𝑪 𝑳= 7.976 X
𝟖𝟒.𝟖𝟑𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.922
𝑪 𝑫= 5.401 X
𝟖𝟒.𝟖𝟑𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.624
Correction in 𝑩𝑴 𝟐 − 𝑩𝑴 𝟑 :
𝑪 𝑳= 7.976 X
𝟓𝟔.𝟎𝟖𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.610
𝑪 𝑫= 5.401 X
𝟓𝟔.𝟎𝟖𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.431
Correction in 𝑩𝑴 𝟑 − 𝑩𝑴 𝟒 :
𝑪 𝑳=7.976 X
𝟗𝟒.𝟎𝟕𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 1.023
𝑪 𝑫= 5.401 X
𝟗𝟒.𝟎𝟕𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.692
Correction in 𝑩𝑴 𝟒 − 𝑩𝑴 𝟓 :
𝑪 𝑳= 7.976 X
𝟔𝟖.𝟖𝟒𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.748
𝑪 𝑫= 5.401 X
𝟔𝟖.𝟖𝟒𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.507
Correction in 𝑩𝑴 𝟓 − 𝑩𝑴 𝟔 :
𝑪 𝑳= 7.976 X
𝟔𝟓.𝟗𝟔𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.717
𝑪 𝑫= 5.401 X
𝟔𝟓.𝟗𝟔𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.485
Correction in 𝑩𝑴 𝟔 − 𝑩𝑴 𝟕 :
𝑪 𝑳= 7.976 X
𝟔𝟗.𝟕𝟔𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.758
𝑪 𝑫= 5.401 X
𝟔𝟗.𝟕𝟔𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.513
Correction in 𝑩𝑴 𝟕 − 𝑩𝑴 𝟖 :
𝑪 𝑳= 7.976 X
𝟔𝟓.𝟔𝟖𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.714
𝑪 𝑫= 05.401 X
𝟔𝟓.𝟔𝟖𝟓
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.483
Correction in 𝑩𝑴 𝟖 − 𝑪𝑷 𝟏:
𝑪 𝑳= 7.976 X
𝟕𝟗.𝟐𝟖𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.870
𝑪 𝑫= 5.401 X
𝟕𝟗.𝟐𝟖𝟎
𝟕𝟑𝟑.𝟑𝟓𝟐
= 0.583
*Calculation of Interior Angle*
Theoretically,
Total Interior angle = (2n - 4) x 90
=(2 x 10 - 4) x 90 = 1440°
Error in Interior angle = 1440°01’50”-1440”
= - 0°1’50”
Thus, Error ininterior angle is equally
distributed in all stations,
.:.Correction ineach station = - 0°1’50”
10
= - 0°00’11”