### Article Index

#### b. Traverse with Azimuths

 Figure E-7 Azimuth Traverse Example

 Line Azimuth Length (ft) Lat (ft) Dep (ft) ST 309°05'38" 347.00 +218.816 -269.311 TU 258°34'22" 364.55 -72.226 -357.324 UV 128°04'44" 472.74 -291.560 +372.123 VS 60°21'26" 292.94 +144.885 +254.602 sums: 1477.23 -0.085 +0.090 Distance Lat err too far S Dep err too far E

##### (1) Adjust the Lats and Deps

Setup Equations E-1 and E-2:

Solve Equations E-3 and E-4 for each line:

Line ST

Line TU

Line UV

Line VS

Check the closure condition

 Adjusted Line Lat (ft) Dep (ft) ST +218.836 -269.332 TU -72.205 -357.346 UV -291.533 +372.094 VS +144.902 +254.584 sums: 0.000 0.000 check check

##### (2) Compute adjusted lengths and directions

Use Equations E-5 and E-6 along with Figure E-5 to compute the new length and direction for each line.

Line ST

Adj Lat = +218.836 <- North
Adj Dep = -269.332 <- West

Because it's in the NW quadrant: Az = 360°00'00"+(-50°54'20.4") =309°05'39.6"

Line TU

Adj Lat = -72.205 <- South
Adj Dep = -357.346 <- West

Because it's in the SW quadrant: Az = 180°00'00"+(78°34'36.0") = 258°34'36.0"

Line UV

Adj Lat = -291.533 <- South
Adj Dep = +372.094 <- East

Because it's in the SE quadrant: Az = 180°00'00"+(-51°55'17.6") = 128°04'42.4"

Line VS

Adj Lat = +144.902 <- North
Adj Dep = +254.584 <- East

Because it's in the NE quadrant: Az = 60°21'09.7"

##### (3) Adjustment summary
 Adjusted Adjusted Line Lat (ft) Dep (ft) Length (ft) Azimuth ST +218.836 -269.332 347.029 309°05'39.6" TU -72.205 -357.346 364.568 258°34'36.0" UV -291.533 +372.094 472.700 128°04'42.4" VS +144.902 +254.584 292.933 60°21'09.7"