Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-02-25 23:20:55

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

gradient & degree

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.


#2 2006-02-25 23:33:24

Registered: 2005-06-28
Posts: 24,255

Re: gradient & degree

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.


Board footer

Powered by FluxBB