The definition of slope can be expressed by mathematical formula: slope = vertical height/horizontal distance. Among them, the vertical height refers to the height in the vertical direction of the slope, and the horizontal distance refers to the distance in the horizontal direction of the slope. For example, if the vertical height of a slope is 1m and the horizontal distance is 2m, then the slope of this slope is 50%.
The definition of slope can also be expressed graphically. In the plane rectangular coordinate system, draw a right triangle with the origin as the starting point, the X axis as the horizontal distance and the Y axis as the vertical height, where the distance from the origin to the X axis is the horizontal distance and the distance from the origin to the Y axis is the vertical height.
Then, connect the midpoints of the height and bottom of the right triangle to form an isosceles triangle, and the vertex of this isosceles triangle is the slope. The definition of slope can also be expressed in terms of angle.
In the plane rectangular coordinate system, draw a right triangle with the origin as the starting point, the X axis as the horizontal distance and the Y axis as the vertical height, where the distance from the origin to the X axis is the horizontal distance and the distance from the origin to the Y axis is the vertical height. Then, measure the angle between the height and the midpoint of the bottom of the right triangle, which is the slope.
Difference of inclination angle and inclination degree
There is indeed a difference between the inclination angle and the inclination degree. Inclination is a quantity that describes the inclination of a straight line on a plane, usually expressed in the form of an angle. Inclination describes the degree of inclination of a straight line relative to the horizontal line, that is, the size of the inclination angle.
In other words, the inclination angle is the direction of the straight line on the plane, and the inclination angle is the inclination degree of the straight line relative to the vertical line. Although these two concepts are related, they are not the same. The inclination angle is an angle, and the inclination degree is a ratio or percentage. So inclination angle and inclination degree are two different concepts, which describe different physical quantities.