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Right Angled Triangle Angle Calculator

Angle Formula:

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

meters
meters

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1. What is a Right Angled Triangle Angle Calculator?

Definition: This calculator determines one of the non-right angles in a right-angled triangle using the lengths of the opposite and adjacent sides.

Purpose: It helps students, engineers, and construction professionals quickly calculate angles in right-angled triangles for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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 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 the arcsine or arccosine functions instead, depending on which sides you know.

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

Q3: How precise 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, the angle result will be correct.

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

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