Calculate Side of Right Angle Triangle

Opposite Side Formula:

\[ \text{opp} = \text{adj} \times \tan(\theta) \]

Opposite Side (meters):

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1. What is the Opposite Side Calculator?

Definition: This calculator computes the length of the opposite side in a right-angled triangle using the adjacent side and angle θ.

Purpose: It helps in trigonometry problems, construction planning, and various engineering applications where right-angled triangles are involved.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{opp} = \text{adj} \times \tan(\theta) \]

Where:

opp — Length of the opposite side (meters)
adj — Length of the adjacent side (meters)
θ — Angle between adjacent side and hypotenuse (degrees)

Explanation: The tangent of angle θ is multiplied by the adjacent side length to calculate the opposite side length.

3. Importance of Right Angle Triangle Calculations

Details: These calculations are fundamental in trigonometry and have practical applications in construction, navigation, physics, and engineering.

4. Using the Calculator

Tips: Enter the adjacent side length in meters and the angle θ in degrees (must be between 0 and 90 degrees). Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why does the angle need to be less than 90 degrees?
A: The calculator is designed for right-angled triangles, so θ must be an acute angle (0° < θ < 90°).

Q2: What if my angle is in radians?
A: Convert radians to degrees first (1 radian ≈ 57.2958 degrees) before using the calculator.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q4: Can I use this for non-right-angled triangles?
A: No, this calculator specifically works for right-angled triangles only.

Q5: What's the practical use of this calculation?
A: Applications include determining heights of objects, construction planning, and slope calculations.