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Tree Shadow Formula:
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The Tree Shadow Calculation determines the length of a tree's shadow based on its height and the sun's angle. This trigonometric calculation is useful in various fields including architecture, landscaping, and photography.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula uses basic trigonometry where the shadow length forms the adjacent side of a right triangle, with the tree height as the opposite side to the sun's angle.
Details: Calculating shadow length is important for planning solar panel placement, building orientation, landscape design, and understanding sunlight patterns throughout the day and seasons.
Tips: Enter the tree height in meters and the sun's angle in degrees (must be between 0-90°). The angle should be measured from the horizontal plane to the sun's position.
Q1: What is the ideal time for shadow measurements?
A: Midday typically provides the most consistent results, though measurements can be taken at any time when the sun's angle can be accurately determined.
Q2: How accurate is this calculation?
A: The calculation is mathematically precise for a point light source. Real-world accuracy depends on accurate measurement of height and sun angle.
Q3: Can this be used for other objects besides trees?
A: Yes, the same formula applies to any vertical object including buildings, poles, and structures.
Q4: What affects shadow length in real conditions?
A: Atmospheric conditions, time of day, season, and geographical location all affect the actual sun angle and shadow characteristics.
Q5: How does this relate to solar positioning?
A: This calculation is fundamental to understanding solar geometry and is used in solar energy system design and architectural planning.