Calculate Angle for Right Triangle

Angle Formula:

\[ \theta = \arctan\left(\frac{b}{a}\right) \]

Angle (radians):

Angle (degrees):

1. What is a Right Triangle Angle Calculator?

Definition: This calculator computes the angle (θ) in a right triangle using the arctangent of the ratio between the opposite and adjacent sides.

Purpose: It helps in geometry, construction, and engineering to determine angles when the side lengths are known.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \theta = \arctan\left(\frac{b}{a}\right) \]

Where:

\( \theta \) — Angle in radians
\( a \) — Length of adjacent side (meters)
\( b \) — Length of opposite side (meters)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of the opposite side to the adjacent side.

3. Importance of Angle Calculation

Details: Accurate angle measurement is crucial for proper construction, mechanical design, and various engineering applications.

4. Using the Calculator

Tips: Enter the lengths of the adjacent and opposite sides in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radians and degrees?
A: Radians measure angles based on the radius of a circle (2π = 360°), while degrees divide a circle into 360 parts.

Q2: Can I use this for non-right triangles?
A: No, this calculator is specifically for right triangles. For other triangles, use the Law of Cosines.

Q3: What if I know the hypotenuse instead?
A: You would need to use arcsine or arccosine depending on which sides you know.

Q4: How accurate are the results?
A: The results are mathematically precise, though displayed with limited decimal places for readability.

Q5: Can I calculate the other angle?
A: Yes, in a right triangle, the other non-right angle is (90° - calculated angle).