3. Examples
a. Traverse 1
(1) Forward Computation
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Figure F-10 |
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 500.000' N, 2000.000' E. Compute the coordinates of the remaining points.
A simple way is to set up a table with North coordinates and latitudes in one column, East coordinates and departures in another.
(2) Inverse Computation
What are the length ad bearing of the line A to C in the diagram below?
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Figure F-11 Length anf Direction Determination |
From Equations F-5 and F-6:
Substituting into Equation F-7
and Equation F-8
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.
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Figure F-12 Crossing Traverse Forward Computation |
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:
(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.
Because ΔY is North and ΔX is West:
Line FH: 275.25' and azimuth of 270°40'49".