Angle Formula:
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Definition: This calculator determines an angle in a right triangle when given the lengths of the opposite and adjacent sides.
Purpose: It helps students, engineers, and construction professionals quickly find angles in right triangles for various applications.
The calculator uses the formula:
Where:
Explanation: The arctangent function converts the ratio of opposite to adjacent sides into an angle in radians, which is then converted to degrees.
Details: Accurate angle measurement is crucial in construction, navigation, engineering, and various scientific applications involving right triangles.
Tips: Enter the lengths of the opposite and adjacent sides in meters. Both values must be positive numbers.
Q1: What if my triangle isn't a right triangle?
A: This calculator only works for right triangles. For other triangles, use the Law of Cosines or Law of Sines.
Q2: 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.
Q3: How accurate is the calculation?
A: The calculation is mathematically precise, though displayed to 2 decimal places for readability.
Q4: Can I calculate the hypotenuse with this?
A: No, this only calculates angles. Use the Pythagorean theorem for hypotenuse calculations.
Q5: What if I know the hypotenuse instead?
A: You would need to use arcsine or arccosine functions instead of arctangent.