Calculate the average mathematical gradient of a slope that rises 450m over a horizontal distance of 1.8 km.
450/1800
To calculate the average mathematical gradient of a slope, we need to divide the vertical rise (in meters) by the horizontal distance (in kilometers).
1. First, convert the horizontal distance from kilometers to meters. Since there are 1,000 meters in a kilometer, we multiply the given distance of 1.8 km by 1,000:
1.8 km x 1,000 = 1,800 m
2. Now, we can calculate the average mathematical gradient by dividing the vertical rise by the horizontal distance.
Average mathematical gradient = Vertical rise / Horizontal distance
Gradient = 450 m / 1,800 m
3. Simplifying the division, we find:
Gradient = 0.25
Therefore, the average mathematical gradient of the slope that rises 450m over a horizontal distance of 1.8 km is 0.25.