1. What is a Triangle Angle Ratio Calculator?

Definition: This calculator computes the tangent ratio of an angle in a right triangle, which represents the ratio of opposite side to adjacent side.

Purpose: It helps in trigonometry, construction, and engineering to determine slope ratios and side relationships in right triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Ratio — Tangent of the angle (dimensionless)
• θ — Angle in degrees (must be between 0° and 90°)

Explanation: The tangent function converts the angle into a ratio that describes the relationship between the opposite and adjacent sides of a right triangle.

3. Importance of Angle Ratio Calculation

Details: Angle ratios are fundamental in trigonometry, used for solving triangles, calculating slopes, and in various engineering applications.

4. Using the Calculator

Tips: Enter any angle between 0° and 90° (exclusive) to get its tangent ratio. The ratio approaches infinity as the angle approaches 90°.

5. Frequently Asked Questions (FAQ)

Q1: What does the ratio represent?
A: The ratio represents how many times longer the opposite side is compared to the adjacent side in a right triangle.

Q2: What's the ratio for 45 degrees?
A: tan(45°) = 1, meaning both sides are equal in length.

Q3: Why can't I enter 90 degrees?
A: The tangent of 90° is undefined (infinite) as the adjacent side length would be zero.

Q4: How is this used in real-world applications?
A: Used in roof pitch calculations, road gradients, and determining proper angles for structural support.

Q5: What's the relationship between ratio and angle?
A: The ratio increases as the angle increases, with a non-linear relationship described by the tangent function.