Intersection Solver — Bearings & Distances
Calculate plane-coordinate intersections from two bearings, one bearing and one distance, or two distances. See every forward candidate, its radial back-checks and the working used for the construction. Decisions use unrounded values; displayed decimals are presentation only.
Uses only this tool title and its public link. Inputs, results, coordinates and filenames are not included. Sharing starts only when you press the button.
Free advisory field tool — every result is computed in your browser from the inputs you provide and is advisory and unverified, not for survey deliverables. Where a published guideline applies, results only ever read “within guideline” or “exceeds guideline — review”. The full working is shown for every calculation so each step can be re-checked. Registered surveyor confirmation required before reliance.
Candidate coordinates and checks
One forward-ray intersection was calculated. Re-check both source bearings and reference points.
- Candidate count
- 1
- Intersection angle
- 90°
- Signed distance on ray A (m)
- 70.710678
- Signed distance on ray B (m)
- 70.710678
Forward intersection
- Easting (m)
- 500050
- Northing (m)
- 6960050
- Distance from ray A origin (m)
- 70.710678
- Bearing from ray A origin
- 45°00′00.00″
- Distance from ray B origin (m)
- 70.710678
- Bearing from ray B origin
- 315°00′00.00″
Match every candidate against independent field evidence and the intended feature. No candidate is selected automatically when two constructions remain.
Planimetric working aid only. It does not infer datum, CRS, zone, epoch, units, grid-to-ground scale or which candidate belongs to the surveyed feature.
Show the working
- direction crosscross(unit ray A, unit ray B)1
- ray A signed distancecross(B - A, unit ray B) / direction cross70.7106781187
- ray B signed distancecross(B - A, unit ray A) / direction cross70.7106781187
- forward intersection eastingEA + ray A signed distance * sin(bearing A)500050
- forward intersection northingNA + ray A signed distance * cos(bearing A)6960050
- ray reconstruction separationdistance between points independently reconstructed from ray A and ray B0
- intersection anglesmaller clockwise separation of the two ray bearings90
- forward solution countcandidates with both signed ray distances at least zero1
Working trace rendered from the same computation as the result above — re-check any step by hand before relying on it.
How to use the survey intersection calculator
Choose an intersection construction, enter its plane-grid observations and review every candidate with the radial back-checks.
Choose the construction mode
Select bearing-bearing, bearing-distance or distance-distance for the observations available in the current working set.
Enter reference observations
Enter the reference coordinates plus the required bearings or distances in one consistent plane system and unit convention.
Review every candidate
Inspect all returned coordinates, radial back-checks and the working trace against independent field evidence before choosing a feature.
Questions about Bearing & distance intersections
What does a survey intersection calculator in Australia solve?
This survey intersection calculator uses plane-grid bearings and distances to construct bearing-bearing, bearing-distance or distance-distance candidates for review in Australia.
Why can the distance modes return two candidate points?
A ray and circle, or two circles, can meet at more than one point. The tool keeps every forward candidate visible so independent evidence can identify the intended feature.
Does the tool choose a datum or the intended intersection?
No. Coordinates are treated as plane values in the convention you enter, and the tool does not choose a datum, zone, scale or candidate on your behalf.
Safety & scope
SurveyMarkup helps prepare and review working information. Every professional decision remains with the registered surveyor, and original data and final outputs require qualified review.
Assistance only - professional review remains required.