Intersection by Bearings Solver
Solves the coordinates of a point from two bearing rays observed at known stations.
Known points
Point A
Point B
Whole-circle bearings, clockwise from north. Runs in your browser.
Intersection point
Before you rely on this: First-pass guide only. Verify safety-critical or regulated work against the relevant standards, your project requirements and a qualified professional.
How to use this calculator
- Enter the coordinates of the two known stations A and B.
- Pick a bearing format and enter the whole-circle bearing observed from each station.
- Read the easting and northing of the intersection point.
How it works
Two rays — one from A on its bearing, one from B on its bearing — meet at a single point unless they're parallel. The tool sets up each ray as A + t·(sin brg, cos brg) and solves the two equations for the intersection.
If the bearings are parallel (or equal) there is no unique intersection and the tool says so.
Worked example
A(0,0) on 45°, B(100,0) on 315°. The NE ray from A and the NW ray from B cross at E 50, N 50.
Frequently asked questions
What makes a strong intersection?
Rays that cross close to a right angle give a strong, well-defined point; a shallow (near-parallel) crossing is weak and sensitive to small bearing errors.
Is this official course material?
No. It is free study support mapped to surveying course levels — not official North Metropolitan TAFE content or advice. Always follow your lecturer and the official assessment brief, and check your own working.
Related tools
- Intersection by Distances Solver
- Bearing & Distance to Coordinates Calculator
- Missing Line & Measurement Solver
- Azimuth to Bearing Converter
- Bowditch Adjustment Calculator
- Coordinates to Bearing & Distance Calculator
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Cite this tool
Zerdly. (2026). Intersection by Bearings Solver. Retrieved from https://www.zerdly.com/tools/intersection-by-bearings-solver/
Tip: Enter any known values to calculate the remaining results.
Designed to run locally in your browser. Tool inputs are not intentionally stored by Zerdly unless stated otherwise.