FW11 — Traverse Reconstruction and Determination of Missing Data

I — Project Details

ItemRecord
Fieldwork / ProjectFW11 — Traverse Reconstruction and Determination of Missing Data
DatasetInstructor-provided closed traverse
Date / TimeNovember 5, 2026; 1:00–4:00 PM
Group / SectionGroup 1 / CE Surveying
Starting CoordinateA = N 1000.0000 m, E 1000.0000 m
Coordinate ReferenceAssumed local coordinate system
Direction ConventionAzimuth clockwise from north
Missing ItemComplete course D → A
Data StatusReconstructed value is computed, not a raw field observation

II — Survey Team and Equipment Used

A — Survey Team

MemberAssignment / DescriptionRemarks
Student AParty Chief / Dataset CustodianNone
Student BLatitude/Departure CalculatorNone
Student CIndependent Computation CheckerNone
Student DCoordinate-Plot PreparerNone
Student ERecorderNone
Student FQA/QC ReviewerNone

B — Equipment Used

Equipment / InstrumentID / DescriptionQuantityRemarks
Original Field RecordFW11-G1-field-notes.pdf1Preserved unaltered
Scientific CalculatorCALC-011Degree mode verified
Spreadsheet / Coordinate SheetFW11-G1-reconstruction.xlsx1Formulas independently checked
Plotting SheetA4 coordinate grid1Assumed local axes
PPENot applicable to the classroom reconstruction stage—Required if stations are revisited in the field

III — Project Sketch and Photo Documentation

A — Project Sketch and Reconstruction Plot

FW11 — Missing Traverse Course Reconstruction

B — Google Maps Location Points

Point / AreaMap RecordPurpose / Limitation
Original traverse areaVerified source-project pin required if availableGeographic context only
Stations A to DNo WGS84 coordinates supplied in the model datasetDo not invent map points from assumed local coordinates
Assumed local plotCoordinates in Section IVComputation and closure verification

C — Photo Documentation — Dedicated Page

Reserve one complete report page for the embedded original images or document captures represented by this register.

PhotoImage FileDescription
1FW11-photo-01.jpgOriginal field record showing the missing DA entry
2FW11-photo-02.jpgGroup checking latitude and departure signs by quadrant
3FW11-photo-03.jpgReconstruction plot before inserting the missing course
4FW11-photo-04.jpgFinal closed coordinate plot and independent check sheet

IV — Observations and Data

A — Provided Courses

CourseLength (m)AzimuthStatus
AB50.00030°00′00″Provided
BC40.000110°00′00″Provided
CD55.000210°00′00″Provided
DAMissingMissingTo be reconstructed

B — Known Coordinate Components

CourseLatitude (m)Departure (m)
AB+43.3013+25.0000
BC-13.6808+37.5877
CD-47.6314-27.5000
Known-course sum-18.0109+35.0877

C — Reconstructed Course and Coordinate Verification

QuantityResult
Latitude DA+18.0109 m
Departure DA-35.0877 m
Length DA39.4403 m
Azimuth DA297°10′19″
QuadrantNorthwest
StationNorthing (m)Easting (m)
A1000.00001000.0000
B1043.30131025.0000
C1029.62051062.5877
D981.98911035.0877
A (close)1000.00001000.0000

V — Computations and Assumptions

For a closed traverse:

∑Lat=0,∑Dep=0\sum Lat=0,\qquad\sum Dep=0

Therefore:

LatDA=−(−18.0109)=+18.0109 mLat_{DA}=-(-18.0109)=+18.0109\text{ m} DepDA=−(+35.0877)=−35.0877 mDep_{DA}=-(+35.0877)=-35.0877\text{ m}

Course length:

LDA=18.01092+(−35.0877)2=39.4403 mL_{DA}=\sqrt{18.0109^2+(-35.0877)^2}=39.4403\text{ m}

Because latitude is positive and departure is negative, DA lies in the northwest quadrant:

αDA=360∘−tan⁡−1(35.087718.0109)=297∘10′19′′\alpha_{DA}=360^\circ-\tan^{-1}\left(\frac{35.0877}{18.0109}\right)=297^\circ10'19''

Coordinate propagation:

NA=981.9891+18.0109=1000.0000 mN_A=981.9891+18.0109=1000.0000\text{ m} EA=1035.0877−35.0877=1000.0000 mE_A=1035.0877-35.0877=1000.0000\text{ m}

Assumptions and conventions:

  • The provided AB, BC, and CD courses are accepted without adjustment.
  • Positive latitude is north; positive departure is east.
  • The polygon is intended to be exactly closed within the displayed precision.
  • The recovered DA course is a computed reconstruction and must not be relabeled as a raw observation.
  • If the original hidden observation is later supplied, it is appended as an independent comparison.

VI — Remarks and Conclusions

A — Remarks

  • The reconstruction is based on closure conditions, not guessing or copying a hidden adjusted value.
  • Sign convention, calculator angle mode, rounding, and transposed latitude/departure values are probable error sources.
  • The source dataset and reconstructed result remain clearly distinguished.

B — Conclusion

The missing course is reconstructed as 39.4403 m at azimuth 297°10′19″. Its components return the coordinate sequence exactly to Station A within the displayed precision, completing the closed traverse.

Example filename: `G#1-P#11-Missing Traverse Data.pdf`

PrevNext