1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines one of the non-right angles 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 arctangent trigonometric function:

Where:

• \( \theta \) — Angle in degrees
• opposite — Side opposite to the angle (meters)
• adjacent — 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 Right Triangle Calculations

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

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's the range of possible angles?
A: The calculator will return angles between 0° and 90° (exclusive).

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

Q5: Can I use different units besides meters?
A: Yes, as long as both sides use the same units, the angle result will be correct.