1. What is the Angle of Elevation?

The angle of elevation is the angle between the horizontal line and the line of sight to an object above the horizontal. It's commonly used in surveying, navigation, and engineering to determine heights or distances.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle of elevation in degrees
• \( Height \) — Vertical height difference (meters)
• \( Distance \) — Horizontal distance (meters)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle whose tangent is the ratio of height to distance, then converts from radians to degrees.

3. Applications of Angle Calculation

Details: This calculation is essential in architecture (building design), aviation (approach angles), astronomy (celestial measurements), and construction (slope determination).

4. Using the Calculator

Tips: Enter height and distance in meters. Both values must be positive numbers. The calculator will compute the angle in degrees between 0° and 90°.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angle of elevation and depression?
A: Elevation is looking upward from horizontal, depression is looking downward. Both use the same calculation but with different reference points.

Q2: What if my distance is zero?
A: When distance is zero (directly below the object), the angle becomes 90° (straight up). Our calculator prevents division by zero.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on your height and distance measurements.

Q4: Can I use different units?
A: Yes, but both height and distance must be in the same units (both meters, both feet, etc.).

Q5: What's the maximum possible angle?
A: The angle approaches 90° as height increases relative to distance, but never reaches exactly 90° for finite height and distance.