Welcome to the High Heel Angle calculator! This handy tool helps you determine the angle of your high heels based on the heel height and shoe length. Whether you’re a shoe designer, fashion enthusiast, or just curious about the comfort and balance of your heels, this calculator provides quick and accurate results.
Simply enter the heel height and shoe length, and the calculator will give you the angle in degrees. You can start calculating right away, or read on to understand the formula, see a worked example, and learn what each parameter means.
Understanding the Formula
The High Heel Angle is calculated using the following formula:
Angle (in degrees) = arctan(Heel Height ÷ Shoe Length) × (180 ÷ π)
Variables:
- Angle: The angle of the high heel in degrees.
- Heel Height: The vertical height of the heel.
- Shoe Length: The distance from the back of the heel to the ball of the foot.
- arctan: The inverse tangent function, which calculates the angle based on the ratio of heel height to shoe length.
- π (pi): A mathematical constant, approximately 3.14159.
In simple words, the formula compares how tall the heel is to how long the shoe is. The higher the heel compared to the shoe’s length, the sharper the angle becomes. This directly impacts how comfortable or steep the high heel will feel when worn.
Parameters Explained
Heel Height:
This is the vertical measurement of the heel, usually taken in inches or centimeters. A higher heel height means a steeper shoe angle, which can increase both style and pressure on the foot.
Shoe Length:
This is the length from the back of the heel to the ball of the foot. Measuring it in the same unit as heel height is essential for accuracy. Longer shoes reduce the angle, making heels feel less steep.
Angle (in degrees):
This is the final result, representing how steep your heels are. A lower angle usually means more comfort, while a higher angle means more dramatic style but less stability.
How to Use the High Heel Angle Calculator — Step-by-Step Example
Let’s work through an example together:
- Suppose your high heel height is 8 cm.
- The shoe length (from heel to ball) is 20 cm.
- Apply the formula:
Angle = arctan(8 ÷ 20) × (180 ÷ π)
Angle = arctan(0.4) × 57.2958
Angle ≈ 21.8°
So, a heel height of 8 cm with a shoe length of 20 cm creates an angle of about 21.8 degrees. This angle helps you understand the slope of the shoe and how it may affect comfort and balance.
Additional Information
Here’s a quick reference table of example heel heights, shoe lengths, and resulting angles:
| Heel Height (cm) | Shoe Length (cm) | Angle (°) |
|---|---|---|
| 5 | 20 | 14.0° |
| 7 | 22 | 17.7° |
| 8 | 20 | 21.8° |
| 10 | 24 | 22.6° |
| 12 | 22 | 28.7° |
FAQs
It indicates how steep the shoe feels when worn. A higher angle usually means a steeper, more stylish heel, but it may be less comfortable.
Yes, as long as both heel height and shoe length are measured in the same unit, the result will be accurate.
Most people find that angles under 20 degrees are more comfortable for longer wear, while steeper angles are better suited for shorter occasions.