Use start point, azimuth, dip, and length to calculate the end point and deltas.
XYZ and Azimuth/Dip Converter
Convert azimuth, dip, and length to XYZ, or reverse XYZ back to azimuth and dip.
Keep true / grid / magnetic north notes alongside mining, borehole, and underground survey records.
Input is processed in this browser and is not sent to a server.
Use start and end points to recover azimuth, dip, length, and horizontal distance.
Paste or upload rows, let the headers map automatically, then export the converted table.
What you can do
Compute XYZ from azimuth, dip, and length
Add the direction vector to the start point to calculate the end point and deltas.
Reverse XYZ back to azimuth, dip, and length
Use two points, or the differences between them, to recover the line orientation.
Keep true / grid / magnetic north notes visible
Store a correction angle and a reference note so the survey assumption stays in view.
Convert CSV in bulk
Auto-detect headers and delimiters, then process mixed Forward / Inverse rows together.
Copy rows, JSON, CSV, and share links
Move a single result or the whole session to another device without server upload.
How to use
- Choose Forward, Inverse, or Batch CSV as the entry mode.
- Set the coordinate display and north reference, then add a correction angle and reference memo if needed.
- In Forward mode, enter the start point, azimuth, dip, and length to get the end point. In Inverse mode, enter the start and end points to get the direction.
- For CSV, paste the rows or load a file, review the converted table, and export it when it looks right.
Samples
Compute an end point in Forward mode
Start X 1000.000 / Start Y 2000.000 / Start Z 300.000 / Azimuth 90° / Dip 30° / Length 100.000 m
End X 1086.603 / End Y 2000.000 / End Z 250.000 / ΔX 86.603 / ΔY 0.000 / ΔZ -50.000
Compute direction in Inverse mode
Start X 1000.000 / Start Y 2000.000 / Start Z 300.000 / End X 1086.603 / End Y 2000.000 / End Z 250.000
Azimuth 90° / Dip 30° / Length 100.000 m / Horizontal distance 86.603 m
Batch CSV conversion
Load three survey rows and mix Forward / Inverse by a mode column.
Show the converted table and export CSV while preserving only the error rows.
Glossary
Azimuth
A horizontal angle measured clockwise from north.
Dip
The angle from the horizontal plane, with downward positive in this tool.
ENU
East / North / Up. This is the internal calculation basis.
NED
North / East / Down. Often used in mining and aviation contexts.
True north
North that points toward the geographic pole.
Grid north
North aligned with a map or projected grid.
Magnetic north
North indicated by a compass. It changes by place and time.
DMS
Degree / Minute / Second angle notation.
Formulas
H = L × cos(dip)ΔE = H × sin(azimuth)ΔN = H × cos(azimuth)ΔU = -L × sin(dip)L = sqrt(ΔE² + ΔN² + ΔU²)azimuth = atan2(ΔE, ΔN)dip = atan2(-ΔU, sqrt(ΔE² + ΔN²))azimuth_true = normalize360(azimuth_input + offset_to_true)
FAQ
Is dip here geological dip or line dip?
It is treated as the dip of the line. This tool does not solve strike / dip for a plane.
Are true north and grid north calculated automatically?
You can show a conversion if you enter a correction angle, but the tool does not calculate it from map or magnetic models.
Can I paste azimuth values in DMS format?
Yes. Formats such as 123°27'24", 123 27 24, and 123:27:24 are accepted.
What happens for a vertical segment?
Length still calculates, but the azimuth becomes undefined in the inverse direction.
What CSV formats are supported?
Both headered and headerless input are supported, and comma / semicolon / tab delimiters are auto-detected.
Where is the data stored?
By default it stays in the browser. CSV bodies are not put into the URL, so share them as files when needed.
Notes
- This tool is a conversion aid. It does not replace survey deliverables or site standards.
- Azimuth is measured clockwise from north, not like a standard mathematical angle.
- Dip is treated as a line dip, not a plane strike / dip pair.
- True / grid / magnetic north corrections are supplemental notes based on the values you enter.
- CSV headers are auto-mapped, but checking the template on the first run is still recommended.