Tree Height Calculator
Measure tree height using trigonometry, shadow, and stick methods
Tree Height Measurement
Using angles and distance for accurate measurement
Trigonometry Measurements
Formula: height = tan(β) × distance + eye_height
Optional Adjustments
Adjust for trees that lean significantly
Tree Height Results
Height in Different Units
Measurement Details
Method Used
Tree Analysis
Environmental Considerations
Example Calculation
Scenario: Measuring an Oak Tree
Method: Trigonometry (same level)
Distance: 50 feet from tree
Angle to top: 30 degrees
Observer eye height: 5.5 feet
Calculation Steps
Formula: height = tan(30°) × 50 + 5.5
Step 1: tan(30°) = 0.577
Step 2: 0.577 × 50 = 28.9 feet
Step 3: 28.9 + 5.5 = 34.4 feet total height
Measurement Methods
Using angles and distance for accurate measurement
Using shadow lengths and proportional measurement
Using a stick at arms length for estimation
Tree Species Heights
Measurement Tips
Use smartphone apps
Many free clinometer apps available
Measure from base
Angle should be to tree base, not ground
Clear line of sight
Ensure unobstructed view to tree top
Account for lean
Adjust for trees that lean significantly
Multiple measurements
Take several readings and average them
Understanding Tree Height Measurement
Trigonometry Method
The most accurate method uses trigonometric functions to calculate height based on angles and distances. This method works in various terrains and lighting conditions.
Key Formulas
Same Level: height = tan(β) × distance + eye_height
Below: height = (tan(β) + tan(α)) × distance
Above: height = (tan(β) - tan(α)) × distance
Required Measurements
- Distance: Horizontal distance from tree base
- Angle β: Angle from eye level to tree top
- Angle α: Angle from eye level to tree base (if needed)
- Eye Height: Height of observer's eyes above ground
Alternative Methods
- •Shadow Method: Uses proportional measurement with shadows
- •Stick Method: Simple estimation using arm's reach
- •Clinometer: Professional instrument for precise angles
- •Smartphone Apps: Digital clinometers and calculators
Applications
- Forestry: Timber volume estimation and forest management
- Landscaping: Tree placement and clearance planning
- Safety: Fall zone calculation for tree removal
- Research: Growth studies and ecological surveys
- Property: Tree value assessment and insurance