1. What is the Tree Height Equation?

The tree height equation calculates the height of a tree using basic trigonometry. It requires measuring the angle to the top of the tree from a known distance while accounting for the observer's eye height.

2. How Does the Calculator Work?

The calculator uses the tree height equation:

Where:

• \( \text{angle} \) — Angle to the top of the tree (degrees)
• \( \text{distance} \) — Horizontal distance from observer to tree (meters)
• \( \text{eye\_height} \) — Height of observer's eyes above ground (meters)

Explanation: The tangent of the angle gives the ratio of height above eye level to distance. This is multiplied by distance and added to eye height to get total tree height.

3. Importance of Tree Height Measurement

Details: Accurate tree height measurement is important for forestry management, ecological studies, timber volume estimation, and urban planning.

4. Using the Calculator

Tips: Measure angle in degrees (0-90), distance in meters, and your eye height in meters. For best results, measure on level ground and aim for the very top of the tree.

5. Frequently Asked Questions (FAQ)

Q1: What tools can I use to measure the angle?
A: You can use a clinometer, smartphone inclinometer app, or a simple protractor with a weighted string.

Q2: How accurate is this method?
A: Accuracy depends on precise angle and distance measurements. On level ground with good equipment, accuracy within 5% is achievable.

Q3: What if the ground isn't level?
A: For slopes, you need to adjust calculations using the slope angle or measure the horizontal distance directly.

Q4: Can I use feet instead of meters?
A: Yes, but all measurements must use the same units (all feet or all meters).

Q5: What's a typical eye height for measurement?
A: Average eye height is about 1.5-1.7 meters (5-5.5 feet) for adults standing upright.