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Distance Formula:
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The slope to distance calculation determines the actual distance along a slope using the Pythagorean theorem. It calculates the hypotenuse of a right triangle where the run represents the horizontal change and the rise represents the vertical change.
The calculator uses the distance formula:
Where:
Explanation: The formula applies the Pythagorean theorem to calculate the actual distance along the slope, which is the hypotenuse of the right triangle formed by the run and rise.
Details: Accurate distance calculation along slopes is crucial for various applications including construction, road design, hiking trail planning, and engineering projects where precise measurements are required.
Tips: Enter the horizontal change (run) in meters, vertical change (rise) in meters, and the slope value. All values must be valid numerical inputs with run > 0.
Q1: Why calculate distance along a slope?
A: Calculating the actual distance along a slope is important for accurate measurements in construction, transportation planning, and outdoor activities where the straight-line distance differs from the horizontal distance.
Q2: What units should I use?
A: The calculator uses meters for both run and rise measurements, but the formula works with any consistent unit system.
Q3: How is slope related to rise and run?
A: Slope (m) is calculated as rise divided by run (m = rise/run). It represents the steepness of the incline.
Q4: Can I use this for negative slopes?
A: Yes, the formula works for both positive and negative slopes as it uses the squared values of run and rise.
Q5: What's the difference between horizontal distance and slope distance?
A: Horizontal distance is the straight-line measurement along the ground, while slope distance is the actual distance along the inclined surface, which is always longer than the horizontal distance.