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Degrees Calculation Formula:
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The Degrees Feet calculation determines the angle in degrees based on the ratio of vertical height (feet) to horizontal distance. This trigonometric calculation is essential in various fields including construction, surveying, and engineering.
The calculator uses the arctangent formula:
Where:
Explanation: The formula calculates the angle whose tangent is the ratio of the opposite side (feet) to the adjacent side (distance) in a right triangle.
Details: Accurate angle calculation is crucial for determining slopes, inclines, and elevations in construction projects, road design, and various engineering applications where precise measurements are required.
Tips: Enter both feet (vertical measurement) and distance (horizontal measurement) in feet. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What units should I use for this calculation?
A: Both measurements should be in the same units (feet) for accurate results. The calculator specifically uses feet for both inputs.
Q2: Can I use this for very small angles?
A: Yes, the arctangent function works for all angles from 0° to 90°, providing precise results even for very small angles.
Q3: What's the maximum angle this can calculate?
A: Theoretically, as the ratio approaches infinity, the angle approaches 90°. In practice, the calculator can handle any positive ratio value.
Q4: Are there limitations to this calculation?
A: This calculation assumes a right triangle relationship and may not account for curvature of the earth over extremely long distances.
Q5: Can this be used for elevation calculations?
A: Yes, this is commonly used to calculate angles of elevation when you know the vertical rise and horizontal run.