1. What is Angle Calculation?

Angle calculation using the arctangent function is a fundamental trigonometric operation that determines the angle of a right triangle when the lengths of the opposite and adjacent sides are known.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• Opposite — Length of the side opposite to the angle
• Adjacent — Length of the side adjacent to the angle
• arctan — Inverse tangent function

Explanation: The arctangent function calculates the angle (in radians) whose tangent is the ratio of opposite to adjacent sides, which is then converted to degrees for display.

3. Importance of Angle Calculation

Details: Angle calculation is essential in various fields including engineering, physics, navigation, and computer graphics. It helps determine slopes, angles of elevation/depression, and is fundamental in vector mathematics.

4. Using the Calculator

Tips: Enter the length of the opposite side and adjacent side 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 the measurements?
A: You can use any consistent units (meters, feet, inches, etc.) as long as both opposite and adjacent sides are measured in the same units.

Q2: What is the range of angles this calculator can compute?
A: This calculator computes angles from 0° to 90° for right triangles. The arctan function typically returns values between -90° and 90°.

Q3: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise angle calculations.

Q4: What if both opposite and adjacent sides are zero?
A: The calculator requires both values to be greater than zero. A division by zero would occur if adjacent is zero.

Q5: How accurate is the angle calculation?
A: The calculation uses PHP's built-in mathematical functions which provide high precision. The result is rounded to two decimal places for readability.