Angle Formula:
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Definition: This calculator determines the unknown angle in a right-angled triangle when given the lengths of the opposite and adjacent sides.
Purpose: It helps students, engineers, and construction professionals quickly calculate angles in right triangles for various applications.
The calculator uses the formula:
Where:
Explanation: The arctangent of the opposite/adjacent ratio gives one acute angle, and subtracting from 90° gives the other acute angle.
Details: Accurate angle calculation is essential in construction, engineering, navigation, and various STEM 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 I know the hypotenuse instead?
A: Use different trigonometric functions: θ = arcsin(opp/hyp) or θ = arccos(adj/hyp).
Q2: Can I use different units besides meters?
A: Yes, as long as both sides use the same unit, the angle result will be correct.
Q3: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.
Q4: What if my triangle isn't right-angled?
A: This calculator only works for right-angled triangles. Use the Law of Cosines for other triangles.
Q5: Why does the calculator give θ instead of the first calculated angle?
A: By convention, θ represents the unknown angle we're solving for, which is the complement of the arctangent result.