Coordinates from a bearing and distance
The coordinates of a point from a known point, a bearing or azimuth, and a horizontal distance (a radial sideshot).
Experimental: not yet fully verified. How results are checked
The new point is at northing 1,100 ft, easting 1,100 ft.
- Easting
Provenance
- Computed by
- survey.cogo.forward 1.0.0, core 0.1.0
- Model
- N2 = N1 + d·cos(az), E2 = E1 + d·sin(az)
- Accuracy
- Exact for plane coordinates
- Notes
- 1 shown with the answer
- Cites
- Ghilani, C. D., and Wolf, P. R., Pearson, Elementary Surveying: An Introduction to Geomatics
Something look off?
How we got thisFormula, worked example, sources, and proof
Model: N2 = N1 + d·cos(az), E2 = E1 + d·sin(az)
Accuracy: Exact for plane coordinates
Worked example: N 45° E for 141.421 ft from (1,000, 1,000). Source: Inverse of the add-survey-suite inverse scenario. It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.
You enter
- Bearing or azimuth
- N 45°00'00" E
- Horizontal distance
- 141.421356237 ft
- From easting
- 1000 ft
- From northing
- 1000 ft
You get
- Northing
- 1,100 ft
- Easting
- 1,100 ft
Review: Not yet independently reviewed by a licensed surveyor.
Last verified: 2026-09-23, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.
Status: version 1.0.0, core 0.1.0. See this tool in the verification report.
Checked against: 5 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.
Sources
- Elementary Surveying: An Introduction to Geomatics, Ghilani, C. D., and Wolf, P. R., Pearson, 16th edition. Chapters 10 (traverse computations), 12 (area), 24 (horizontal curves), 25 (vertical curves), 26 (volumes).
Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.