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Shadow Height Formula:
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Shadow casting height calculation uses trigonometry to determine the height of an object based on the length of its shadow and the angle of the sun. This method is based on the principle of similar triangles in trigonometry.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula uses the tangent trigonometric function which relates the opposite side (height) to the adjacent side (shadow length) in a right triangle.
Details: This calculation is useful in various fields including architecture, surveying, photography, and forensic investigations where direct height measurement is impractical or impossible.
Tips: Enter shadow length in meters and sun angle in degrees (between 0 and 90). For accurate results, ensure measurements are taken when the sun is clearly visible and shadows are well-defined.
Q1: What is the most accurate time to take measurements?
A: Midday typically provides the most consistent results, but any time with clear sunlight and well-defined shadows works.
Q2: Can this method be used for very tall objects?
A: Yes, the method works for objects of any height as long as you can accurately measure the shadow length and sun angle.
Q3: How accurate is this calculation?
A: Accuracy depends on the precision of your measurements. Small errors in angle measurement can significantly affect the result, especially at low sun angles.
Q4: What if the ground is not level?
A: For sloped ground, additional corrections are needed. This calculation assumes a flat, level surface.
Q5: Can I use this method at night or on cloudy days?
A: No, this method requires direct sunlight to cast a measurable shadow and determine the sun's angle accurately.