Slope Distance Formula:
From: | To: |
Slope distance is the actual distance between two points along a sloped surface, calculated using the Pythagorean theorem. It represents the direct line measurement between two points, accounting for both horizontal and vertical components.
The calculator uses the Pythagorean theorem:
Where:
Explanation: This formula calculates the hypotenuse of a right triangle, where the horizontal and vertical distances form the two perpendicular sides.
Details: Calculating slope distance is essential in surveying, construction, navigation, and various engineering applications where accurate distance measurements on inclined surfaces are required.
Tips: Enter both horizontal and vertical distances in meters. All values must be positive numbers greater than zero.
Q1: What's the difference between slope distance and horizontal distance?
A: Horizontal distance is the straight-line measurement ignoring elevation, while slope distance is the actual distance along the sloped surface.
Q2: Can this calculator be used for any units of measurement?
A: The calculator is designed for meters, but the same formula works for any consistent unit (feet, inches, etc.).
Q3: How accurate is this calculation?
A: The calculation is mathematically precise for straight-line slopes. For curved surfaces, it provides an approximation.
Q4: What if I only know the angle and one distance?
A: You would need to use trigonometric functions (sine, cosine) to calculate the missing component first.
Q5: Is this the same as calculating gradient?
A: No, gradient is typically expressed as a ratio or percentage of vertical rise to horizontal run.