3. Examples

a. Traverse 1

(1) Forward Computation

img1

Figure F-10
Loop Traverse Forward Computation

 

  Adjusted
Line Lat (ft) Dep (ft)
AB -176.386 -438.574
BC +203.382 -73.105
CD +192.340 +198.635
DE -219.336 +313.044


The coordinates of point A are 2000.000' N, 500.000' E. Compute the coordinates of the remaining points.

A simple way is to set up a table with North coordinates and latituded in one column, East coordinates and depatures in another.

img28

(2) Inverse Computation

What are the length ad bearing of the line A to C in the diagram below?

img29
Figure F-11
Length anf Direction Determination

 

From Equation (F-4)

img30

Substituting into Equation (F-5)

img31

and Equation (F-6)

img33

Because ΔN is North and ΔE is West: N86°58'47.6"W

Line AC: 512.39' at N86°58'48"W

b. Traverse 2

(1) Forward Computation

The crossing traverse in Figure F-12 was previously adjusted with the results shown below.

img35
Figure F-12
Crossing Traverse Forward Computation

 img36

The coordinates of point E are 200.000' X, 1000.000' Y.

Compute the coordinates of the remaining points.

Arranging the computations in a table:

img37

(2) Inverse Computation

Determine the length and azimuth of the line from point F to point H.

Remember: Y=>N, X=>E; and it's To minus From.

img38

img39

img40

Because ΔY is North and ΔX is West:

 img42

Line FH: 275.25' and azimuth of 270°40'49".