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### Angle of gradient equation and calculator

Power Transmission Design and Engineering

**Engineering and Design Applications**

Angle of uphill or downhill gradient equation and calculator

The angle of the uphill or downhill gradient α is calculated using the following formula:

tan α = p / 100

α = arctan ( p /100 )

Sin α = h / c

α = arcsin ( h / c )

Where:

α = Angle of gradient, in °

p = Uphill/downhill gradient, in %

h = Vertical height of an uphill/downhill gradient, in m

c = Distance travelled, in m

Example of a calculation:

Gradient p = 25%. what is the angle of the gradient?

tan α = p / 100 = 25 / 100

α = arctan 0.25

α = 14 °

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