1. What is a Right Triangle Angle Calculator?

Definition: This calculator finds the two 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 determine angles in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — First non-right angle (degrees)
• opposite — Length of side opposite to angle θ
• adjacent — Length of side adjacent to angle θ
• other angle — The remaining angle (degrees)

Explanation: The arctangent function calculates one angle from the opposite/adjacent ratio, and the other angle is found by subtracting from 90°.

3. Importance of Angle Calculation

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

4. Using the Calculator

Tips: Enter the lengths of the opposite and adjacent sides (both must be positive numbers). The calculator will return both non-right angles in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse instead?
A: You would need to use different trigonometric functions (sine or cosine) depending on which sides you know.

Q2: Does this work for non-right triangles?
A: No, this calculator is specifically for right-angled triangles. For other triangles, you would need the Law of Cosines or Law of Sines.

Q3: What units should I use for the side lengths?
A: Any consistent units can be used (meters, feet, etc.) as long as both sides are in the same units.

Q4: How precise are the results?
A: Results are displayed to 2 decimal places for angles, but higher precision is possible by entering more precise side lengths.

Q5: Can I use this for slope calculations?
A: Yes, the angle θ represents the slope angle when opposite is the rise and adjacent is the run.