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Geomatics CVEN 2012 Fall 2017 Problem : 2390 Traverse Data Point Unadjusted Trav

ID: 1713295 • Letter: G

Question

Geomatics CVEN 2012 Fall 2017 Problem : 2390 Traverse Data Point Unadjusted Traverse 57.6533 1242.346 1500.000 2 1105.2005 1030.16 900.4914 531 657.2857 777438 758.6533 1241.466 1400.000 (1' is the location of point 1 as determined at the end of the 1300.000 1200.000 Use the Bowditch Rule (as described in class, lab, s, and in the text at 01-10.7, and Table 10.4) to calculate the traverse 1100.000 e, and adjust the traverse 1000.000 eliminate the misclosure. 900.000 800.000 00.000 600.000 00.000 500.000 700.000 900.000 1100.000 1300.000 1500.000

Explanation / Answer

Traverse misclosure

= Difference between the latitudes and longitudinal values between points 1 and 1’

Latitude Misclosure

= 1241.4667- 1242.3467

= -0.88

Longitudinal misclosure

= 758.6533 – 757.6533

= 1.00

Length 1-2

= sqrt ((1105.2005-757.6533)^2 + (1030.1658-1242.3467)^2 )

= 407. 197

Similarly

Length 2-3

=498.317

Length 3-4

= 245.59

Length 1-4

= 475.618

Total perimeter length

= 407.197 + 498.317 + 245.59 +475.618

= 1626. 722

Correction in Latitude 1-2

= (Total Misclosure/ Traverse Perimeter )* Length of 1-2

= +0.88/1626.722 * 407.197

= 0.2203

Similarly corrections are shown in following table,

Line

Length/m

E

N

Correction E

Correction N

Corrected E

Corrected N

1,2

407.197

757.6533

1242.3467

0.220279409

-0.25031751

757.8736

1242.096

2,3

498.317

1105.2005

1030.1658

0.269572158

-0.306331998

1105.47

1029.859

3,4

245.59

900.4914

531.8488

0.132855645

-0.150972323

900.6243

531.6978

4,1

475.618

657.2857

777.4387

0.257292789

-0.292378169

657.543

777.1463

Traverse misclosure

= Difference between the latitudes and longitudinal values between points 1 and 1’

Latitude Misclosure

= 1241.4667- 1242.3467

= -0.88

Longitudinal misclosure

= 758.6533 – 757.6533

= 1.00

Length 1-2

= sqrt ((1105.2005-757.6533)^2 + (1030.1658-1242.3467)^2 )

= 407. 197

Similarly

Length 2-3

=498.317

Length 3-4

= 245.59

Length 1-4

= 475.618

Total perimeter length

= 407.197 + 498.317 + 245.59 +475.618

= 1626. 722

Correction in Latitude 1-2

= (Total Misclosure/ Traverse Perimeter )* Length of 1-2

= +0.88/1626.722 * 407.197

= 0.2203

Similarly corrections are shown in following table,

Line

Length/m

E

N

Correction E

Correction N

Corrected E

Corrected N

1,2

407.197

757.6533

1242.3467

0.220279409

-0.25031751

757.8736

1242.096

2,3

498.317

1105.2005

1030.1658

0.269572158

-0.306331998

1105.47

1029.859

3,4

245.59

900.4914

531.8488

0.132855645

-0.150972323

900.6243

531.6978

4,1

475.618

657.2857

777.4387

0.257292789

-0.292378169

657.543

777.1463

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