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Slope Calculator

Tool/Calculator to find a slope value (of a road, a roof, a construction, a frame, etc.) from its height or width or length or distance etc.

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Slope Calculator -

Tag(s) : Geometry

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# Slope Calculator

## Slope Calculator

Please fill at least 2 items from this diagram NB: Use the same unit (m, cm, etc.) for all distances (the result will be in this same unit)

Tool/Calculator to find a slope value (of a road, a roof, a construction, a frame, etc.) from its height or width or length or distance etc.

### What is a slope?

The slope is a term which has several definitions, a priori it is the inclination, generally measured in percentage (a slope of 30%). By extension, some call slope the angle $a$ (a slope of 15 degrees).

The percentage value is the elevation for a horizontal distance $h$ of 100 units.

### How to calculate a slope (in percentage)?

The slope $p_\%$ (in % percent) is calculated by the ratio of the height $h$ by the width $w$ (multiplied by 100 to get a percentage): $$p_\% = 100 \times \frac{h}{w}$$

Example: Calculate the slope for a vertical distance of 10m and a horizontal distance of 50m: $p = 10/50 = 0.2$ or $20%$

### How to calculate a slope (in degrees)?

The slope $p°$ (in ° degrees) is calculated by trigonometric functions: $$p° = \arctan \left( \frac{h}{w} \right) \times \frac{180}{\pi}$$

Example: Calculate the slope for a vertical distance of 10m and a horizontal distance of 50m: $p° = \arctan(10/50) \approx 0.19 \text{ rad} \approx 11.3°$ (multiply radians by $180/\pi$ to get a value in degrees)

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