geo-distance Verified Precision Tool

Elevation, Grade & Slope Calculator

Calculate slope percentage, elevation rise/run angle in degrees, and topographic gradient.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid

Origin Location Preset

Destination Location Preset

Point 1 Coordinates (Origin)

Latitude (°N/S)

Longitude (°E/W)

Point 2 Coordinates (Destination)

Latitude (°N/S)

Longitude (°E/W)

Calculated Geodetic Solution

5,570.23 km (3,461.179 miles)

Kilometers5570.23 km

Miles3461.179 miles

Nautical Miles3007.685 NM

🗺️ Interactive Geographic Map & Geodesic Trajectory

Click anywhere on the map or drag pins to update coordinates live.

Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:

Origin: (40.7128°, -74.006°)
Destination: (51.5074°, -0.1278°)

2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km

3. Governing Geodesic Formula:Haversine Great Circle Formula

4. Variable Substitution:R = 6,371 km

5. Interpretation & Practical Application:

Straight line geodesic distance is 5570.23 km.

Mathematical Formula

Grade % = (Rise / Run) * 100, Angle = atan(Rise / Run)

Overview & Explanation

Calculates hill slope, road grade percentage, and topographic steepness.

How It Works

Evaluates rise/run trigonometric ratio.

Practical Applications

Road construction grade compliance.
Hiking trail steepness analysis.

Worked Example: 100m rise over 1000m run

Calculate grade.

Grade %

(100/1000)*100

= 10.0% Grade (5.71° Angle)

Frequently Asked Questions

What is considered a steep road grade?

Road grades above 6% to 8% are considered steep and usually require warning signs.

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