Tree Height Calculator to estimate actual height of tree.
This tree height calculator helps you estimate the height of a tree using trigonometry. To measure a tree’s height, you can employ several techniques that have been developed over time. One classic method is based on similar triangles, where the length of a shadow can indicate height. Another approach involves eye-level measurement, where a stick of equal height to the observer’s distance is used to gauge the tree’s height. The Pythagorean theorem can also be applied, though it is less practical due to challenges in measuring distances.
Input Data for Tree Height Calculation
Calculated Height
This calculator specifically uses trigonometry, utilizing the tangent function to form a right-angled triangle with the height of the tree. Depending on the tree’s position relative to you, the calculation varies:
- For a tree on the same level: The formula is:
tree height=tan(β)×distance from the tree+eye height
Here, β represents the angle from your eyes to the top of the tree. - For a tree below your viewpoint: Use the formula:
tree height=(tan(β)+tan(α))×distance from the tree
In this case, α is the angle from your eyes to the base of the tree. - For a tree above your viewpoint: The formula changes slightly:
tree height=(tan(β)−tan(α))×distance from the tree
In this situation, α is included in β.
By understanding these techniques and using this calculator, you can accurately estimate the height of trees in various positions relative to your viewpoint.
This version maintains clarity and conciseness while providing useful information on how to use the tree height calculator.
