Angle Formula:
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Definition: This calculator determines the angle θ in a right triangle when you know the lengths of the opposite and adjacent sides.
Purpose: It helps students, engineers, and DIYers quickly find angles in right triangle geometry problems.
The calculator uses the arctangent function:
Where:
Explanation: The ratio of opposite to adjacent sides gives the tangent of the angle, and the arctangent function converts this ratio back to the angle.
Details: Right triangle trigonometry is fundamental in construction, navigation, engineering, and physics applications.
Tips: Enter the lengths of the opposite and adjacent sides in meters. Both values must be positive numbers.
Q1: What if I know the hypotenuse instead?
A: You would need to use arcsine or arccosine functions instead of arctangent.
Q2: Can I use other units besides meters?
A: Yes, as long as both sides use the same unit, the angle result will be the same.
Q3: What's the range of possible angles?
A: The calculator returns angles between 0° and 90° for valid right triangles.
Q4: How accurate are the results?
A: Results are accurate to two decimal places for most practical applications.
Q5: Can this calculate the other angles in the triangle?
A: In a right triangle, the other non-right angle is simply 90° minus the calculated angle.