1. What is an Angle of a 90 Degree Triangle 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 calculate angles in right triangles for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle in degrees
• \( opp \) — Length of side opposite 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 Angle Calculation

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

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

Q3: Can I use different units of measurement?
A: Yes, as long as both sides use the same units (e.g., both in feet or both in meters).

Q4: What's the range of possible angles?
A: In a right triangle, the non-right angles range between 0° and 90°.

Q5: How do I find the other non-right angle?
A: Subtract the calculated angle from 90° (since angles in a triangle sum to 180°).