1. What is the Angle Calculation Formula?

The angle calculation formula uses the arctangent trigonometric function to determine the angle from height and distance measurements. This is based on the right triangle principle where the angle is calculated from the opposite side (height) and adjacent side (distance).

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• \( Height \) — Vertical measurement (units)
• \( Distance \) — Horizontal measurement (units)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle in radians, which is then converted to degrees for easier interpretation.

3. Importance of Angle Calculation

Details: Angle calculation is essential in various fields including engineering, construction, physics, and navigation. It helps determine slopes, inclinations, and trajectories in practical applications.

4. Using the Calculator

Tips: Enter height and distance values in the same units. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for height and distance?
A: You can use any units (meters, feet, inches, etc.) as long as both measurements use the same unit system.

Q2: What is the range of possible angle values?
A: The calculated angle will be between 0° and 90° since both height and distance are positive values.

Q3: Can this calculator handle very large or very small values?
A: Yes, but extremely large height/distance ratios may approach 90° while very small ratios approach 0°.

Q4: What if the distance is zero?
A: Distance cannot be zero as it would result in division by zero. The calculator requires positive values for both inputs.

Q5: How accurate is the calculation?
A: The calculation uses PHP's built-in trigonometric functions which provide high precision for most practical applications.