1. What is the Angle Calculator?

The Angle Calculator converts slope values (rise over run) into degrees of elevation or depression. This is useful in various fields including construction, engineering, and geography.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle in degrees
• Slope — Rise over run (vertical/horizontal)

Explanation: The arctangent function converts the ratio of opposite/adjacent sides (slope) into an angle in radians, which is then converted to degrees.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for proper grading in construction, determining roof pitches, calculating road grades, and many other applications.

4. Using the Calculator

Tips: Enter the slope as a decimal value (e.g., 0.25 for a 1:4 slope). Positive values indicate elevation angles while negative values indicate depression angles.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope and angle?
A: Slope is a ratio (rise:run) while angle is the actual measurement in degrees between the horizontal and the slope line.

Q2: What does a 45° angle correspond to in slope?
A: A 45° angle equals a slope of 1 (100% grade), where rise equals run.

Q3: How do I convert percentage grade to degrees?
A: Enter the percentage as a decimal (e.g., 15% = 0.15) into the calculator.

Q4: What's the maximum possible angle?
A: Theoretically 90° (vertical), though practical applications rarely exceed 45°.

Q5: Can I calculate slope from angle?
A: Yes, slope = tan(angle), where angle is in degrees.