1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines an angle 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.

2. How Does the Calculator Work?

The calculator uses the tangent trigonometric function:

Where:

• \( \theta \) — Angle in degrees
• \( opp \) — Length of opposite side (meters)
• \( adj \) — Length of adjacent side (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 applications.

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 different trigonometric functions - sine for opposite/hypotenuse or cosine for adjacent/hypotenuse.

Q2: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.

Q3: Can I use other units besides meters?
A: Yes, as long as both sides use the same unit, the angle result will be the same.

Q4: What if my triangle isn't right-angled?
A: You would need to use the Law of Cosines or Law of Sines instead.

Q5: How do I find the other angle?
A: In a right triangle, the other non-right angle is 90° minus the calculated angle.