1. What is the Angle Calculation?

The angle calculation using arctangent (atan) determines the angle of a right triangle when you know the lengths of the opposite and adjacent sides. This is a fundamental trigonometric calculation used in geometry, engineering, and physics.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• \( \text{opposite} \) — Length of the side opposite to the angle
• \( \text{adjacent} \) — Length of the side adjacent to the angle
• The result is converted from radians to degrees

Explanation: The arctangent function returns the angle whose tangent is the ratio of opposite to adjacent sides.

3. Importance of Angle Calculation

Details: Calculating angles in right triangles is essential for construction, navigation, computer graphics, and various engineering applications where precise angular measurements are required.

4. Using the Calculator

Tips: Enter the lengths of the opposite and adjacent sides in any consistent units (both must be positive numbers). The calculator will return the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What if my triangle isn't a right triangle?
A: This calculator only works for right triangles. For other triangles, you would need to use the Law of Cosines or Law of Sines.

Q2: What units should I use?
A: Any consistent units can be used (cm, inches, meters, etc.) as long as both sides are in the same units.

Q3: How accurate is the calculation?
A: The calculation is mathematically precise, though practical accuracy depends on the precision of your input measurements.

Q4: Can I calculate the other angles?
A: In a right triangle, the other non-right angle is (90° - calculated angle), and the right angle is always 90°.

Q5: What if I know the hypotenuse instead?
A: You would need to use arcsine or arccosine instead of arctangent in that case.