Angle Right Triangle Calculator

Right Triangle Angle Formula:

\[ \theta = \arctan\left(\frac{\text{opp}}{\text{adj}}\right) \]

Angle (θ):

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1. What is an Angle Right Triangle Calculator?

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 DIYers quickly calculate angles in right triangles for various applications.

2. How Does the Calculator Work?

The calculator uses the arctangent formula:

\[ \theta = \arctan\left(\frac{\text{opp}}{\text{adj}}\right) \]

Where:

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

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

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 arcsine (opp/hyp) or arccosine (adj/hyp) depending on which sides you know.

Q2: Does this work for non-right triangles?
A: No, this calculator is specifically for right triangles. Use the Law of Cosines for other triangles.

Q3: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.

Q4: Can I use different units?
A: Yes, as long as both sides use the same unit (feet, inches, etc.), the angle calculation remains valid.

Q5: What's the range of possible angles?
A: In a right triangle, the non-right angles range between 0° and 90°.