1. What is a Right Angle Triangle Angle Calculator?

Definition: This calculator determines the angle (θ) in a right-angled triangle based on the lengths of the opposite and adjacent sides.

Purpose: It helps students, engineers, and construction professionals quickly calculate angles in right triangles without manual trigonometry.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle in degrees
• \( opp \) — Length of side opposite to the angle (meters)
• \( adj \) — Length of side adjacent to the angle (meters)

Explanation: The ratio of opposite to adjacent sides gives the tangent of the angle, and the arctangent function converts this ratio back to the angle.

3. Importance of Angle Calculation

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

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 (opp/hyp) or arccosine (adj/hyp) instead of arctangent.

Q2: Does this work for non-right triangles?
A: No, this calculator is specifically for right-angled triangles.

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

Q4: How precise are the results?
A: Results are displayed to 2 decimal places (about 0.01° precision).

Q5: Can I use different units of measurement?
A: Yes, as long as both sides use the same units (feet, inches, etc.).