1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines an angle in a right triangle when given the lengths of the opposite and adjacent sides.

Purpose: It helps students, engineers, and construction professionals quickly find angles in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

• \( \theta \) — Angle in degrees
• opposite — Side opposite to the angle θ
• adjacent — Side adjacent to the angle θ

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

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential in construction, navigation, engineering, and various scientific applications.

4. Using the Calculator

Tips: Enter the lengths of the opposite and adjacent sides in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse instead?
A: Use arcsine (opposite/hypotenuse) or arccosine (adjacent/hypotenuse) instead of arctangent.

Q2: Does this work for non-right triangles?
A: No, this calculator is specifically for right-angled triangles. Use the Law of Cosines for other triangles.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as both sides use the same unit.

Q4: How precise is the calculation?
A: The result is displayed with 2 decimal places, but the calculation uses full floating-point precision.

Q5: Can I calculate the other angles?
A: In a right triangle, the other non-right angle is (90° - θ), and the right angle is always 90°.