1. What is 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 trigonometry for problems involving heights and distances.

2. How Does the Calculator Work?

The calculator uses the inverse sine (arcsine) function:

Where:

• \( \theta \) — Angle of elevation (in radians)
• opposite — Length of the side opposite to the angle
• hypotenuse — Length of the hypotenuse

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

3. Practical Applications

Details: Angle of elevation calculations are used in surveying, navigation, architecture, and physics to determine heights of buildings, mountains, or other objects when direct measurement isn't possible.

4. Using the Calculator

Tips: Enter the length of the opposite side and hypotenuse in meters. Both values must be positive, and the opposite side cannot be longer than the hypotenuse.

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use for the measurements?
A: The calculator uses meters, but any consistent unit will work as the ratio is unitless.

Q3: Why does my calculation show an error?
A: This happens when the opposite side is longer than the hypotenuse, which violates the triangle inequality.

Q4: Can I use this for three-dimensional problems?
A: Yes, but you may need to calculate the effective hypotenuse in 3D space first.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, but real-world accuracy depends on measurement precision.