1. What is the Opposite Over Adjacent Angle Formula?

The arctangent formula calculates the angle θ in a right triangle using the ratio of the opposite side to the adjacent side. This is the inverse of the tangent function in trigonometry.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• \( O \) — Length of the opposite side
• \( A \) — Length of the adjacent side
• \( \theta \) — Resulting angle in degrees

Explanation: The calculator computes the ratio of opposite to adjacent sides, then calculates the arctangent of that ratio to determine the angle in degrees.

3. Importance of Angle Calculation

Details: Calculating angles from side ratios is fundamental in trigonometry, geometry, navigation, engineering, and various scientific applications where right triangle relationships are used.

4. Using the Calculator

Tips: Enter the lengths of the opposite and adjacent sides in consistent units. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the side lengths?
A: You can use any consistent units (cm, inches, meters, 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 we're dealing with positive side lengths in a right triangle.

Q3: Can this calculator handle very large or very small values?
A: Yes, as long as both values are positive numbers, the calculator can handle a wide range of numerical inputs.

Q4: What if the adjacent side is zero?
A: The calculator requires both values to be greater than zero, as division by zero is undefined.

Q5: How accurate are the results?
A: Results are calculated with high precision and rounded to two decimal places for readability.