FW05 — Horizontal and Vertical Angle Measurement

I — Project Details

ItemRecord
Fieldwork / ProjectFW05 — Horizontal and Vertical Angle Measurement
LocationUniversity Campus — Open Survey Area
Date / TimeOctober 1, 2026; 1:00–4:00 PM
Group / SectionGroup 1 / CE Surveying
Occupied StationO-01
Horizontal TargetsA-01 and B-01
Vertical TargetsC-01 and D-01
Observation MethodRepeated face-left and face-right sets
Weather / VisibilityClear; unobstructed sight lines

II — Survey Team and Equipment Used

A — Survey Team

MemberAssignment / DescriptionRemarks
Student AParty ChiefNone
Student BTheodolite OperatorNone
Student CTarget Person at A-01 / C-01None
Student DTarget Person at B-01 / D-01None
Student ERecorderNone
Student FSafety / Check ObserverNone

B — Equipment Used

Equipment / InstrumentID / DescriptionQuantityRemarks
Electronic TheodoliteTH-01; 5″ least count1Centering and leveling checked
TripodTP-031Clamps secure
Target PoleTG-01 and TG-022Held vertical
Optical PlummetBuilt into TH-011Checked over O-01
Station MarkersO-01, A-01, B-01, C-01, D-015Visible
PPE SetHigh-visibility vest and closed shoes6Complete

III — Project Sketch and Photo Documentation

A — Project Sketch

FW05 — Horizontal and Vertical Angle Geometry

B — Google Maps Location Points

Point / AreaMap RecordPurpose / Limitation
O-01 work areaVerified Google Maps pin and WGS84 coordinate required in actual reportGeographic context
Target sectorMarked view directions or work-area polygon required in actual reportDocuments site arrangement
O-01 and targetsField station IDs and measured geometrySurvey record remains authoritative

C — Photo Documentation — Dedicated Page

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

PhotoImage FileDescription
1FW05-photo-01.jpgTheodolite centered and leveled over O-01
2FW05-photo-02.jpgFace-left sight to the horizontal target
3FW05-photo-03.jpgFace-right observation after transiting the telescope
4FW05-photo-04.jpgVertical target observation with target and instrument visible

IV — Observations and Data

A — Horizontal-Angle Observations

SetFace LeftFace RightStatus
168°24′36″68°24′38″Raw / retained
268°24′42″68°24′44″Raw / retained
368°24′39″68°24′40″Raw / retained

B — Vertical-Angle Observations and Reduced Means

TargetFace LeftFace Right ReducedMean
C-01+6°12′20″+6°12′16″+6°12′18″
D-01-3°08′44″-3°08′40″-3°08′42″

C — Computed Quality Data

Quantity / CheckResult
Adopted horizontal angle68°24′40″
Horizontal maximum spread8″
C-01 opposite-face discrepancy4″
D-01 opposite-face discrepancy4″
Centering and leveling recheckedYes
Raw observations retainedYes

V — Computations and Assumptions

The six reduced horizontal observations are averaged in arc-seconds:

θ‾=68∘24′+36′′+38′′+42′′+44′′+39′′+40′′6=68∘24′39.833′′≈68∘24′40′′\overline{\theta} =68^\circ24' +\frac{36''+38''+42''+44''+39''+40''}{6} =68^\circ24'39.833'' \approx68^\circ24'40''

Maximum horizontal spread:

44′′−36′′=8′′44''-36''=8''

Opposite-face vertical means:

αC=6∘12′20′′+6∘12′16′′2=+6∘12′18′′\alpha_C=\frac{6^\circ12'20''+6^\circ12'16''}{2}=+6^\circ12'18'' αD=−3∘08′44′′−3∘08′40′′2=−3∘08′42′′\alpha_D=\frac{-3^\circ08'44''-3^\circ08'40''}{2}=-3^\circ08'42''

Assumptions and conventions:

  • Face-right readings are reduced to the same signed angular convention before averaging.
  • Positive vertical angle is above the instrument horizontal; negative is below.
  • Instrument centering and leveling are rechecked before each repeated set.
  • Final angles are rounded to the instrument's 5″ least-count reporting context while preserving the computed mean.

VI — Remarks and Conclusions

A — Remarks

  • Clear sight lines allowed all observations to be retained.
  • Opposite-face sets reduce several instrumental and pointing effects but do not remove centering or target-plumbing error.
  • Centering, pointing, target stability, and reading/booking are the main probable error sources.

B — Conclusion

The repeated observations support an adopted horizontal angle of 68°24′40″. The mean vertical angles are +6°12′18″ to C-01 and -3°08′42″ to D-01. The small opposite-face discrepancies indicate internally consistent classroom observations.

Example filename: `G#1-P#5-Horizontal and Vertical Angles.pdf`

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