Tree Height Calculator
Estimate tree height using the shadow method with similar triangles or a clinometer angle reading.
This free online tree height calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Enter your values below and see results update in real time as you type. Perfect for everyday calculations, homework, or professional use.
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Results
Estimated Tree Height
60 ft
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Tree Height Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Tree Height Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the Tree Height Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
- •Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
- •Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
- •Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.
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About Tree Height Calculator
The tree height calculator estimates the height of a tree using either the shadow method (similar triangles) or the clinometer angle method (trigonometry). Measuring tree height is fundamental in forestry, arboriculture, and ecology for timber volume estimation, hazard assessment, growth monitoring, and wildlife habitat evaluation. Direct measurement by climbing or tape is impractical for most trees, so indirect methods based on geometry are standard practice. The shadow method requires a sunny day and a reference object of known height, while the angle method uses a clinometer or inclinometer (often available as a smartphone app) and a tape measure for horizontal distance.
The Math Behind It
Formula Reference
Shadow Method
H_tree = (Shadow_tree / Shadow_object) × H_object
Variables: H = height; Shadow = shadow length; uses similar triangles
Angle Method
H_tree = D × tan(θ) + eye height
Variables: D = horizontal distance; θ = angle to tree top; eye height = observer's eye above ground
Worked Examples
Example 1: Shadow method
A 6-ft person casts a 4-ft shadow. The tree's shadow is 40 ft.
The tree is approximately 60 feet tall.
Example 2: Angle method
From 100 ft away, the angle to the top is 45°. Eye height is 5.5 ft.
The estimated tree height is about 105.5 feet.
Common Mistakes & Tips
- !Measuring the shadow on uneven ground, which distorts the calculation.
- !Forgetting to add eye height when using the angle method.
- !Measuring the slope distance instead of horizontal distance when the tree is on a hill.
Related Concepts
Used in These Calculators
Calculators that build on or apply the concepts from this page:
Frequently Asked Questions
Which method is more accurate?
The angle method with a good clinometer and rangefinder is generally more accurate (±2–5%). The shadow method is simpler but requires flat ground and a clear shadow, and accuracy depends on precise shadow-tip identification.
Can I use my phone as a clinometer?
Yes, many smartphone apps use the built-in accelerometer to measure angles of elevation. Hold the phone edge-on, sight along the edge to the tree top, and read the angle. Accuracy is typically within 1–2 degrees.
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