What is a degree of slope?
The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal.
Convert the rise and run to the same units and then divide the rise by the run. Multiply this number by 100 and you have the percentage slope. For instance, 3" rise divided by 36" run = .083 x 100 = an 8.3% slope.
- The angle of repose, or critical angle of repose, of a granular material is the steepest angle of descent or dip relative to the horizontal plane to which a material can be piled without slumping. At this angle, the material on the slope face is on the verge of sliding. The angle of repose can range from 0° to 90°.
- There are three steps in calculating the slope of a straight line when you are not given its equation.
- Step One: Identify two points on the line.
- Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
- Step Three: Use the slope equation to calculate slope.
- Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question. Step 3 For Sine calculate Opposite/Hypotenuse, for Cosine calculate Adjacent/Hypotenuse or for Tangent calculate Opposite/Adjacent. Step 4 Find the angle from your calculator, using one of sin-1, cos-1 or tan.
Surface Slope Conversions
|1:48||2.0%||1/4" per foot (actually 2.083%)|
|1:20||5.0%||19/32" per foot (actually 4.95%), or 5/8" per foot (actually 5.2083%)|
|1:16||6.25%||3/4” per foot|
|1:12||8.33%||1" per foot, or 6” of rise per 6' of run|
- 1% as a decimal is 0.01 and hence the slope is 0.01. That means for a run of pipe of a certain length the rise must be 0.01 times the length. Thus for you example, since the length of the run is 80 feet which is 80 × 12 = 960 inches the rise must be 0.01 × 960 = 9.6 inches.
- For example, a slope that has a rise of 5 feet for every 100 feet of run would have a slope ratio of 1 in 20. For example, "slopes are expressed as ratios such as 4:1. This means that for every 4 units (feet or meters) of horizontal distance there is a 1-unit (foot or meter) vertical change either up or down."
- Batter in architecture is a receding slope of a wall, structure, or earthwork. A wall sloping in the opposite direction is said to overhang. The term is used with buildings and non-building structures to identify when a wall is intentionally built with an inward slope.
Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but it might be from the "m for multiple" in the equation of a straight line "y = mx + b" or "y = mx + c". The direction of a line is either increasing, decreasing, horizontal or vertical.
- The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
- An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!
- Slope (or Gradient) We call m the slope or gradient of the line. It represents the change in y-value per unit change in x-value. For example, consider the line given by the equation y = 2x + 1. Here are some points on the line.
Updated: 17th October 2019