Solar Shadow Formula:
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Solar shadow calculation determines the length of a shadow cast by an object based on its height and the sun's elevation angle. This is important in architecture, photography, and various scientific applications.
The calculator uses the trigonometric formula:
Where:
Explanation: The tangent function relates the angle of elevation to the ratio between the object's height and its shadow length.
Details: Calculating shadow length is crucial for architectural design to ensure proper sunlight exposure, for photography to plan lighting conditions, and in solar energy applications to optimize panel placement.
Tips: Enter the object height in meters and the solar elevation angle in degrees (between 0 and 90). Both values must be positive numbers.
Q1: What is solar elevation angle?
A: Solar elevation angle is the angle between the horizon and the center of the sun's disc, measured in degrees.
Q2: How does time of day affect shadow length?
A: Shadows are longest at sunrise and sunset (when solar elevation is lowest) and shortest at solar noon (when solar elevation is highest).
Q3: Does this calculation work for any object shape?
A: This calculation provides the shadow length for a vertical object. For irregular shapes, the calculation may be more complex.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise for a point light source. For the sun, it's an excellent approximation for most practical purposes.
Q5: Can I use this for solar panel placement?
A: Yes, this calculation helps determine shading patterns which is important for optimizing solar panel placement and efficiency.