1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines the angle θ 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 without manual calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

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

3. Importance of Right Triangle Calculations

Details: Right triangle trigonometry is fundamental in construction, navigation, engineering, and physics for determining angles and distances.

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) depending on which sides you know.

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

Q4: Can I use different units?
A: Yes, as long as both sides use the same units (feet, inches, etc.), the angle result will be correct.

Q5: What's the range of possible angles?
A: In a right triangle, the non-right angles range between 0° and 90°.