Tree Height Calculator
ANA›Life Services Authority›National Calculator Authority›Tree Height Calculator
.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }
Tree Height Calculator
Calculate the height of a tree by measuring the angle of elevation to the top of the tree and your distance from its base.
Distance from Tree Base (meters)
Angle of Elevation (degrees)
Observer Eye Height (meters) (optional, default 1.6 m)
Calculate
function treCalc() { var resultDiv = document.getElementById('tre-result'); var distanceVal = document.getElementById('tre-distance').value.trim(); var angleVal = document.getElementById('tre-angle').value.trim(); var eyeHeightVal = document.getElementById('tre-eye-height').value.trim();
// Validation if (distanceVal === '' || angleVal === '') { resultDiv.innerHTML = 'Please enter both distance and angle of elevation.'; return; }
var distance = parseFloat(distanceVal); var angle = parseFloat(angleVal); var eyeHeight = eyeHeightVal === '' ? 1.6 : parseFloat(eyeHeightVal);
if (isNaN(distance) || distance Distance must be a positive number greater than 0.'; return; } if (isNaN(angle) || angle = 90) { resultDiv.innerHTML = 'Angle of elevation must be between 0° and 90° (exclusive).'; return; } if (isNaN(eyeHeight) || eyeHeight Observer eye height must be 0 or greater.'; return; }
// Formula: Tree Height = distance * tan(angle) + eye_height var angleRad = angle * Math.PI / 180; var treeHeight = distance * Math.tan(angleRad) + eyeHeight;
// Additional useful outputs var heightFeet = treeHeight * 3.28084; var heightInches = treeHeight * 39.3701;
resultDiv.innerHTML = 'Tree Height: ' + treeHeight.toFixed(2) + ' m' + ' (' + heightFeet.toFixed(2) + ' ft / ' + heightInches.toFixed(1) + ' in)' + 'Distance: ' + distance.toFixed(2) + ' m | Angle: ' + angle.toFixed(1) + '° | Eye Height: ' + eyeHeight.toFixed(2) + ' m'; }
#### Formula
Tree Height (H) = d × tan(θ) + heye
- d = horizontal distance from the observer to the base of the tree (meters)
- θ = angle of elevation from the observer's eye to the top of the tree (degrees)
- heye = height of the observer's eye above the ground (meters)
- tan(θ) = trigonometric tangent of the angle of elevation
The formula is derived from basic trigonometry: in a right triangle formed by the observer, the base of the tree, and the top of the tree, the opposite side (height above eye level) equals the adjacent side (distance) multiplied by the tangent of the angle. The observer's eye height is then added to get the total tree height from the ground.
#### Assumptions & References
- The ground between the observer and the tree is assumed to be flat and level.
- The distance is measured horizontally from the observer's position to the base of the tree trunk.
- The angle of elevation is measured from the observer's eye level to the very top of the tree.
- The default observer eye height of 1.6 m (≈ 5 ft 3 in) represents an average adult eye level.
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Reference: Avery, T.E. & Burkhart, H.E. (2002). Forest Measurements (5th ed.). McGraw-Hill. — Standard forestry trigonometric height measurement method.
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Reference: Philip, M.S. (1994). Measuring Trees and Forests (2nd ed.). CAB International. — Describes tangent-based height estimation techniques.
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