Slope and Elevation Measurement Notes

Slope Definition and Percentage Representation

  • Expression of Slope: Slope is expressed in percentage (or percentages).
  • Core Concept: Slope represents the fundamental relationship between vertical change and horizontal distance across a surface or terrain between two defined locations.
  • Elevation Difference: The vertical change or difference in elevation is measured strictly in feet between two specific points.
  • Horizontal Distance: The baseline distance over which the elevation change occurs is measured as the horizontal distance in feet between the same two points.

Mathematical Formulation

  • Formula: The percentage slope between two points is determined by dividing the difference in elevation by the horizontal distance, both expressed in feet, and multiplying by one hundred percent:

$$\text{Slope (\%)} = \frac{\text{Difference in Elevation (ft)}}{\text{Horizontal Distance (ft)}} \times 100\%

  • Units of Measurement:
    • Vertical parameter: Feet (ft)
    • Horizontal parameter: Feet (ft)
    • Output unit: Percentage (\%)