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**lee butterworth****Member**- Registered: 2006-02-25
- Posts: 1

hi i am a roofer. i am trying to find the formula for working out the gradient of a slope in relation to its degree. ie, what is the gradient of a 10 degree slope. thank you if you can help.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,082

The gradient of a line is the tangent of the angle of slope; that

is, the tangent of the angle between the line and the positive x axis.

The x axis has angle 0 with itself, so its gradient is tan(0) = 0.

The y axis makes an angle of 90 degrees with the x axis, and tan(90) = infinity, So the y axis has infinite gradient.

Your question is what is the gradient of a 10 degree slope.

If the line makes an angle of 10 degrees with the positive X axis, the gradient is tan(10 degrees) or 0.17632698 approximately.

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