Tree Height Calculator
Estimate tree height using distance and an angle.
Estimate a tree's height by sighting its top from a known distance.
How the Math Works
The Tree Height Calculator uses trigonometry to determine tree height through a simple yet powerful formula: height = distance × tan(angle) + eye height. This equation is based on the tangent function in right triangle geometry, where the tangent of an angle equals the opposite side divided by the adjacent side. When you measure the distance from the tree (the adjacent side) and the angle of elevation to the top of the tree, the calculator multiplies these values to find the triangle's height. The eye height is then added to account for the vertical distance from your eye level to the ground, giving you the complete tree height.
Practical Applications
To use this calculator practically, position yourself at a clear sightline to the tree and measure your distance from its base using a measuring tape or rangefinder. Next, use a clinometer, smartphone app, or even a protractor with a weighted string to measure the angle of elevation to the tree's top. Enter these values along with your eye height into the calculator. For best results, take measurements from multiple positions and average the results, ensure you're measuring to the same point on the tree trunk, and take measurements on level ground to avoid slope interference.
Day-to-Day Use
This calculator proves useful in numerous everyday scenarios: arborists and landscapers can estimate tree heights for planning pruning, plantings, and hazard assessments without expensive equipment; property owners can verify if trees comply with local height restrictions or municipal codes; construction teams can quickly assess tree clearance for building projects; and nature enthusiasts can document tree growth over time or contribute to citizen science tree mapping projects. Beyond professional applications, it empowers homeowners to make informed decisions about tree health, space requirements, and potential risks to power lines or structures.
Worked example
50 ft away, 40° up, eye 5.5 ft → ~47.5 ft.
FAQ
Measure the angle?
Use a clinometer or a phone app to sight the treetop.