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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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Thanks to your feedback and relevant comments, dCode has developed the best 'Slope Calculator' tool, so feel free to write! Thank you!

Thanks to your feedback and relevant comments, dCode has developed the best 'Slope Calculator' tool, so feel free to write! Thank you!