1. What is a 100% Slope?

A 100% slope means that for every unit of horizontal distance (run), there is an equal unit of vertical distance (rise). This results in a 45-degree angle, where the rise and run are equal.

2. How Does the Calculator Work?

The calculator uses the following formulas:

Where:

• \( \text{Rise} \) — Vertical change
• \( \text{Run} \) — Horizontal distance
• \( \arctan \) — Inverse tangent function

Explanation: When rise equals run (1:1 ratio), the slope is 100% and the angle is exactly 45 degrees.

3. Importance of Slope Calculation

Details: Slope calculations are crucial in construction, road design, landscaping, and various engineering applications where precise angle measurements are needed.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (feet, meters, etc.). The calculator will determine if the slope equals 100% (45 degrees) or calculate the actual percentage and angle.

5. Frequently Asked Questions (FAQ)

Q1: What does a 100% slope look like?
A: A 100% slope forms a perfect diagonal - for every 1 unit forward you go 1 unit up, creating a 45-degree angle.

Q2: Is a 100% slope the same as a 45-degree angle?
A: Yes, exactly. 100% slope = 45° angle because tan(45°) = 1, which is 100% when expressed as percentage.

Q3: What's the maximum possible slope percentage?
A: Theoretically infinite (as the angle approaches 90°), but practically slopes over 100% are very steep.

Q4: How is slope percentage used in real-world applications?
A: Used in road signs (e.g., "10% grade"), wheelchair ramp design, roof pitch specifications, and trail difficulty ratings.

Q5: What's the difference between slope ratio and slope percentage?
A: A 1:1 ratio means 100% slope. Ratio compares rise to run directly, while percentage is rise divided by run × 100.