Distance Formula:
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The Distance Elevation Grade Calculator computes the horizontal distance based on vertical rise and grade percentage. It's commonly used in construction, engineering, and outdoor activities to determine the length of a slope.
The calculator uses the formula:
Where:
Explanation: The formula converts grade percentage to a ratio (dividing by 100) and then divides the rise by this ratio to get the horizontal distance.
Details: Accurate distance calculation is crucial for planning construction projects, trail building, road design, and determining the actual travel distance on slopes.
Tips: Enter rise in feet and grade as a percentage (e.g., 5 for 5%). Both values must be positive numbers.
Q1: What's the difference between grade and angle?
A: Grade is rise over run expressed as a percentage (e.g., 10% means 10 feet rise per 100 feet horizontal), while angle is measured in degrees.
Q2: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs, but actual terrain may have varying grades.
Q3: Can I use this for hiking trail planning?
A: Yes, it's useful for estimating trail distances when you know the elevation gain and average grade.
Q4: What's a typical road grade?
A: Most highways have maximum grades of 5-6%, while mountain roads may have grades up to 10-12%.
Q5: How does this relate to slope ratio?
A: A 100% grade equals a 1:1 slope ratio (45 degree angle), while a 50% grade equals a 1:2 slope ratio.