1. What is a Right Angle Triangle Calculator?

Definition: This calculator computes the angle θ (in degrees) in a right-angled triangle using the lengths of the adjacent and opposite sides.

Purpose: It helps students, engineers, and designers quickly determine angles in right-angled triangles for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( θ \) — Angle in degrees
• \( a \) — Length of adjacent side (meters)
• \( b \) — Length of opposite side (meters)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of opposite to adjacent side, then converts from radians to degrees.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial in construction, navigation, engineering, and various scientific applications involving right triangles.

4. Using the Calculator

Tips: Enter the lengths of the adjacent (a) and opposite (b) 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 or arccosine functions instead, depending on which sides you know.

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

Q3: What's the range of possible results?
A: The result will always be between 0° and 90° for positive side lengths.

Q4: How precise are the results?
A: Results are precise to 3 decimal places, sufficient for most practical applications.

Q5: Can I use different units?
A: Yes, as long as both sides use the same units (e.g., both in feet or both in meters).