1. What is the Angle of Elevation?

The angle of elevation is the angle between the horizontal line and the line of sight when an observer looks upward at an object. It's commonly used in trigonometry, surveying, and navigation.

2. How Does the Calculator Work?

The calculator uses the inverse tangent (arctangent) function:

Where:

• \( \theta \) — Angle of elevation (in radians)
• opposite — Vertical distance (height difference)
• adjacent — Horizontal distance

Explanation: The calculator first computes the angle in radians using the arctangent function, then converts it to degrees for easier interpretation.

3. Applications of Angle of Elevation

Details: This calculation is essential in fields like architecture (determining roof slopes), aviation (approach angles), astronomy (measuring celestial object positions), and construction (determining heights of structures).

4. Using the Calculator

Tips: Enter the vertical distance (opposite side) and horizontal distance (adjacent side) in meters. Both values must be positive numbers. The calculator will provide the angle in both radians and degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angle of elevation and depression?
A: Angle of elevation is when looking upward from horizontal, while angle of depression is when looking downward from horizontal.

Q2: Why are both radian and degree results shown?
A: Radians are mathematically fundamental, while degrees are more intuitive for most practical applications.

Q3: What's the range of possible angles of elevation?
A: The angle can range from 0° (looking straight ahead) up to but not including 90° (looking straight up).

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, assuming accurate input measurements and a flat horizontal plane.

Q5: Can this be used for large distances?
A: For very large distances (e.g., astronomical observations), Earth's curvature must be considered.