1. What is a Right Triangle Calculator with Angles?

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 calculate angles in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

Where:

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

Details: Accurate angle calculations are essential in construction, navigation, engineering, and various scientific 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 arcsine (opp/hyp) or arccosine (adj/hyp) depending on which sides you know.

Q2: How accurate is this calculation?
A: Very accurate, limited only by the precision of your input values and PHP's floating-point arithmetic.

Q3: Can I calculate the other angles too?
A: In a right triangle, the other non-right angle is simply 90° minus the calculated angle.

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as both sides use the same unit.

Q5: How do I find the hypotenuse length?
A: Use the Pythagorean theorem: √(opp² + adj²).