Intersection by Bearings Solver
A free, browser-based calculator. Runs entirely in your browser — no sign up, nothing stored.
Known points
Point A
Point B
Whole-circle bearings, clockwise from north. Runs in your browser.
Intersection point
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
Tip: Enter any known values to calculate the remaining results.
All calculations run in your browser. Your inputs are never saved or transmitted.