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Calcimator

Strike and Dip Calculator

Calculate apparent dip from true dip and the angle between the strike direction and cross-section line.

About this calculator

True dip is the maximum angle a tilted rock layer makes with the horizontal, measured in the vertical plane perpendicular to strike (the horizontal line traced by the layer's intersection with a horizontal plane). Any cross-section cut through the same layer at a different angle sees a shallower angle instead -- the apparent dip -- because a section that isn't perpendicular to strike slices through the tilted surface at an angle, which always foreshortens the visible dip. The relationship, tan(apparent dip) = tan(true dip) x sin(angle between strike and section), means apparent dip equals true dip only when the section is cut exactly perpendicular to strike (angle = 90 deg, sin = 1); at any other angle, apparent dip is strictly smaller.

This matters in the field and in cross-section construction because geologists typically measure true dip directly with a compass-clinometer (a Brunton compass) on an exposed bedding surface, but then need to portray that same layer correctly on a cross-section that may run in an arbitrary direction -- using the true dip value on a non-perpendicular section would draw the layer tilted more steeply than it actually is. The true/apparent thickness ratio this calculator also reports (cos of true dip) converts a thickness measured straight down through an outcrop or borehole into the layer's true perpendicular thickness, which is what stratigraphic thickness comparisons actually need.

Inputs

Results

Apparent Dip

40.89°

True Dip45°
Strike-Section Angle60°
True/Apparent Thickness Ratio0.7071
How to Use This Calculator
  1. Enter the True Dip in degrees measured perpendicular to strike using a Brunton compass.
  2. Enter the Angle Between Strike and Cross-Section direction for the profile you are constructing.
  3. Review the Apparent Dip — always less than true dip unless the section is perpendicular to strike.
  4. Check True/Apparent Thickness Ratio to correct measured thicknesses in non-perpendicular sections.
  5. Use the result to accurately portray bedding attitudes on geological cross-sections.

How the result changes with True Dip (°)

True Dip (°)Apparent Dip
2320.18°
3430.29°
6864.99°
9090°

What each input means

True Dip (°)
True dip angle in degrees measured perpendicular to strike. 0° = horizontal, 90° = vertical.
Angle Between Strike & Section (°)
Angle between the strike direction and the cross-section line in degrees. At 90°, apparent dip equals true dip.

How this is calculated

Formula

tan(apparent dip) = tan(true dip) × sin(angle between strike & section)

Worked example, using the default values

  1. Identify Input Parameters
    2 parameters
    True Dip (°) = 45, Angle Between Strike & Section (°) = 60 = 2 input(s) provided
  2. Calculate Apparent Dip
    Apparent Dip
    40.89 = 40.89
  3. Calculate True Dip
    True Dip
    45 = 45
  4. Calculate Strike-Section Angle
    Strike-Section Angle
    60 = 60

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is apparent dip always less than or equal to true dip?

Because true dip is defined as the MAXIMUM dip angle the layer shows in any direction -- it's measured perpendicular to strike, which is the one direction that captures the full tilt. Any other cross-section direction cuts across the layer at a shallower effective angle, the same way a road climbing straight up a hillside is steeper than the same road traversing diagonally across it. Apparent dip only equals true dip when the section happens to run exactly perpendicular to strike.

Why does the angle between strike and section matter so much?

Because that angle controls how much of the true dip's steepness the cross-section actually captures, via sin(angle). At 90 degrees (section perpendicular to strike), sin(90) = 1, so the section captures the full true dip. As the angle shrinks toward 0 degrees (section running parallel to strike), sin approaches 0, so apparent dip approaches 0 regardless of how steep the true dip actually is -- a section parallel to strike shows a flat-lying layer even if it's actually dipping steeply.

Why do I need the true/apparent thickness ratio at all?

Thickness measured vertically through an outcrop or straight down a borehole is NOT the same as the layer's true perpendicular thickness unless the layer happens to be horizontal -- a tilted layer intersected vertically reads thicker than its real, bed-perpendicular thickness. Multiplying the vertically-measured thickness by cos(true dip) removes that foreshortening effect, which matters for accurately comparing stratigraphic thicknesses between different locations or wells.

Does the strike-section angle affect the thickness ratio too?

No -- the true/apparent thickness ratio depends only on true dip (it's simply cos of the true dip angle), because it's converting a vertically-measured thickness to a bed-perpendicular one, a relationship that's fixed by how steeply the layer itself is tilted. The direction of the cross-section used to view or measure the layer doesn't change how tilted the layer actually is, so it has no effect on this particular ratio.

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