1. What is the Angle Calculation Formula?

The angle calculation formula \( \theta = \arctan\left(\frac{O}{A}\right) \) computes the angle in a right triangle from the lengths of the opposite and adjacent sides. This is a fundamental trigonometric relationship used in various fields including engineering, physics, and navigation.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• \( \theta \) — Angle in degrees
• \( O \) — Length of opposite side
• \( A \) — Length of adjacent side

Explanation: The arctangent function converts the ratio of opposite to adjacent lengths into an angle measurement.

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential for determining slopes, designing structures, navigation, and various scientific measurements.

4. Using the Calculator

Tips: Enter both opposite and adjacent distances in the same units (meters, feet, etc.). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the range of angles this can calculate?
A: The calculator returns angles between 0° and 90° (right angle triangle).

Q2: What if my triangle isn't right-angled?
A: This formula only works for right-angled triangles. For other triangles, use the Law of Cosines or Law of Sines.

Q3: How precise are the results?
A: Results are precise to 2 decimal places, assuming accurate input measurements.

Q4: Can I use this for 3D angles?
A: No, this calculates 2D angles only. For 3D angles you need additional information.

Q5: What units should I use?
A: Any consistent units can be used (meters, feet, etc.) as long as both measurements are in the same units.