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.
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.
It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.