Ex29-1 : A closed-loop traverse was run among stations A, B, C and D having following observation

Sides

Length ( li ) m

Azimuth ( qi )

AB

372.222

0° 42'

BC

164.988

94° 42'

CD

242.438

183° 04'

DA

197.145

232° 51'

Find the consecutive coordinates of the stations.

Solution : The consecutive coordinates of the stations A, B, C and D are as calculated in Table 29.1.

Table 29.1 Consecutive Coordinates of stations of a closed-loop traverse

Sides

Length ( li )

m

Azimuth

( qi )

Stations

Consecutive coordinates of stations, (m)

Departure ( Xi ), li sin qi
Latitude ( Yi ), li cos qi
East (+)
West (-)
North (+)
South(-)

AB

372.222

0° 42'

 

 

 

 

 

 

 

 

B

4.547

 

372.194

 

BC

164.988

94° 42'

 

 

 

 

 

 

 

 

C

164.576

 

 

-11.653

CD

242.438

183° 04'

 

 

 

 

 

 

 

 

D

 

-12.970

 

-242.091

DA

197.145

232° 51'

 

 

 

 

 

 

 

 

A

 

-157.136

 

-119.056

Thus, consecutive coordinates of station are A (-157.136m, -119.056m), B (4.547m, 372.194m), C (164.576m, -11.653m) and D (-12.970m, -242.091m)

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