1. What is Angle Calculation?

The angle calculation converts vertical rise and horizontal run measurements into an angle in degrees. This is commonly used in construction, engineering, and landscaping to determine slope steepness.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \text{Rise} \) — Vertical height difference in feet
• \( \text{Run} \) — Horizontal distance in feet
• \( \arctan \) — Inverse tangent function
• \( \frac{180}{\pi} \) — Conversion factor from radians to degrees

Explanation: The tangent of an angle in a right triangle is equal to the ratio of the opposite side (rise) to the adjacent side (run). The inverse tangent (arctan) converts this ratio back to an angle.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for determining proper slope in construction projects, road design, wheelchair ramps, roof pitches, and drainage systems.

4. Using the Calculator

Tips: Enter both rise and run in feet as positive numbers. The calculator will determine the angle in degrees between 0° and 90°.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angle and slope?
A: Slope is typically expressed as a ratio (rise:run) or percentage, while angle is expressed in degrees.

Q2: What is a 45 degree angle in rise/run terms?
A: A 45° angle occurs when rise equals run (1:1 ratio). For example, 1 foot rise over 1 foot run.

Q3: How do I convert angle to slope percentage?
A: Slope percentage = tan(angle) × 100. For example, a 30° angle = tan(30°) × 100 ≈ 57.7% slope.

Q4: What's the maximum angle this can calculate?
A: Theoretically approaches 90° as run approaches 0, but practically limited by measurement precision.

Q5: Can I use different units than feet?
A: Yes, as long as both rise and run use the same units (meters, inches, etc.), the calculation remains valid.