Enter the heel height and foot length into the calculator to determine the high heel angle.
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High Heel Angle Formula
The following formula is used to calculate an approximate high heel angle for a given heel height and foot length using a simple right-triangle model (rise = heel height, run = foot length). In real shoes, the effective “run” is often closer to the heel-to-ball-of-foot distance, so using full heel-to-toe foot length typically produces a smaller (lower) angle than the shoe’s true pitch.
θ = atan(H / L) * (180 / π)
Variables:
- θ is the high heel angle in degrees
- H is the heel height (use any length unit, but be consistent)
- L is the foot length (use the same length unit as H)
To calculate the high heel angle, divide the heel height by the foot length. Then take the arctangent of the result and convert it to degrees by multiplying by 180/π. (If you want the angle in radians, use θ = atan(H / L) without multiplying by 180/π.)
What is a High Heel Angle?
In this calculator, the high heel angle is an estimate of the incline angle (pitch) implied by a heel height (H) over a horizontal distance (L). It can help compare how “steep” different heel-height-and-length combinations are: a higher angle indicates a steeper incline, which can affect comfort and stability. Because actual shoe geometry and where the foot bears weight vary by design (platforms, toe spring, heel-to-ball distance), this value should be treated as an approximation.
How to Calculate High Heel Angle?
The following steps outline how to calculate the High Heel Angle.
- First, measure the heel height (H).
- Next, measure the foot length (L) you want to use for the model (often heel-to-toe length; for a closer estimate of shoe pitch, heel-to-ball length is commonly used if you have it).
- Next, calculate the high heel angle using the formula θ = atan(H / L) * (180 / π).
- Finally, interpret the High Heel Angle result.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Heel Height (H) = 8 cm
Foot Length (L) = 24 cm
High Heel Angle: θ = atan(8 / 24) × (180 / π) ≈ 18.435°