1. What is an Angle Calculator?

Definition: This calculator computes the angle (in degrees) from the horizontal based on the ratio of vertical (y) to horizontal (x) components.

Purpose: It helps determine angles in various applications including construction, physics, and engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle in degrees
• \( y \) — Vertical component (unitless)
• \( x \) — Horizontal component (unitless)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of y to x.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for proper slope determination, structural stability, and various trigonometric applications.

4. Using the Calculator

Tips: Enter the y and x values (both unitless). The x value cannot be zero (which would cause division by zero).

5. Frequently Asked Questions (FAQ)

Q1: What units are used for the inputs?
A: Both y and x are unitless values representing the ratio of vertical to horizontal components.

Q2: What range does the output angle have?
A: The result is between -90° and +90° (-π/2 to +π/2 radians).

Q3: How do I get angles in other quadrants?
A: You'll need to consider the signs of x and y to determine the correct quadrant.

Q4: What happens if x is zero?
A: The calculation is undefined (vertical line at 90° or -90°).

Q5: Can I calculate radians instead of degrees?
A: The calculator outputs degrees, but you can convert using radians = degrees × (π/180).