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 (\%)