Geological line plunge projection calculator

Calculate projected line angle below section horizontal with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use projected line angle below section horizontal to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Line trend (degrees)
70
Line plunge down (degrees)
30
Vertical section azimuth (degrees)
40
Projected line angle below section horizontal (degrees)
33.690068

Try another scenario

Line trend (degrees)
77
Line plunge down (degrees)
30
Vertical section azimuth (degrees)
40
Projected line angle below section horizontal (degrees)
35.863951
Calculation method

Calculation method

Projected line angle below section horizontal (degrees)

atan2(sin plunge,cos plunge cos(trend−section azimuth)); oriented projection can exceed90 degrees.

Symbols and units
a
Line trend (degrees)
b
Line plunge down (degrees)
c
Vertical section azimuth (degrees)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Trend-plunge, section orientation. Returns Projected line angle. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Line trend (degrees): minimum 0, maximum 360. Line plunge down (degrees): minimum -90, maximum 90. Vertical section azimuth (degrees): minimum 0, maximum 360.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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