Home
Back
Angle Formula:
| From: | To: |
The Rise and Run Angle calculation determines the angle of inclination or slope based on the vertical rise and horizontal run measurements. This is a fundamental calculation in trigonometry used in various fields including construction, engineering, and mathematics.
The calculator uses the arctangent formula:
Where:
Explanation: The formula calculates the angle whose tangent is the ratio of rise to run. The result is converted from radians to degrees for easier interpretation.
Details: Calculating angles from rise and run is essential for determining slopes in construction projects, road design, roof pitches, ramp accessibility compliance, and various engineering applications where precise angles are required.
Tips: Enter both rise and run values in the same units (e.g., feet, meters, inches). Both values must be positive numbers, with run greater than zero.
Q1: What units should I use for rise and run?
A: You can use any units (feet, meters, inches, etc.) as long as both measurements use the same units. The angle result is independent of the specific units used.
Q2: What is the relationship between angle and slope ratio?
A: The slope ratio is expressed as rise:run (e.g., 1:4), while the angle gives the actual degree measurement of inclination.
Q3: What's the maximum angle this calculator can compute?
A: Theoretically, angles approach but never reach 90 degrees as the run approaches zero. In practice, the calculator works for all valid positive inputs.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the inputs. Accuracy depends on the precision of your rise and run measurements.
Q5: Can I calculate rise or run if I know the angle?
A: Yes, using trigonometric functions: Rise = Run × tan(angle) or Run = Rise / tan(angle).