1. What is an Angle Calculator?

Definition: This calculator determines the angle of a right triangle using the arctangent function based on the opposite and adjacent sides.

Purpose: It helps students, engineers, and professionals quickly calculate angles in right triangle scenarios without manual trigonometric calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Angle — Result in degrees
• Opposite — Length of side opposite to the angle (unitless ratio)
• Adjacent — Length of side adjacent to the angle (unitless ratio)

Explanation: The arctangent function (tan⁻¹) converts the ratio of opposite to adjacent sides into an angle measurement.

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential in fields like engineering, construction, physics, and navigation where precise angular measurements are required.

4. Using the Calculator

Tips: Enter the opposite and adjacent side lengths as unitless ratios (they can be in any units as long as both use the same unit). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use different units for opposite and adjacent?
A: No, both values must be in the same units since we're working with a ratio.

Q3: What's the range of possible results?
A: The calculator will return angles between 0° and 90° for positive inputs.

Q4: How precise is the calculation?
A: The result is precise to 2 decimal places, suitable for most practical applications.

Q5: Can I calculate the other angles of the triangle?
A: Yes, the other acute angle is (90° - calculated angle), and the right angle is always 90°.