1. What is Shadow Length Calculation?

The shadow length calculation determines the length of a shadow cast by an object based on its height and the sun's altitude angle. This is particularly useful for architectural planning, photography, and understanding solar positioning at sunrise.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( Length \) — Shadow length (meters)
• \( Height \) — Object height (meters)
• \( Sun\ Altitude \) — Sun's angle above horizon (degrees)

Explanation: The tangent function relates the opposite side (height) to the adjacent side (shadow length) in a right triangle formed by the object and its shadow.

3. Importance of Shadow Length Calculation

Details: Accurate shadow length calculation is essential for urban planning, solar panel placement, architectural design, and understanding how shadows affect sunlight exposure throughout the day.

4. Using the Calculator

Tips: Enter object height in meters and sun altitude in degrees. Sun altitude should be between 0-90 degrees. Values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is sun altitude at sunrise?
A: At sunrise, the sun's altitude is 0 degrees. The altitude increases as the sun rises higher in the sky.

Q2: Why does shadow length vary throughout the day?
A: Shadow length changes as the sun's altitude changes. Shadows are longest at sunrise/sunset and shortest at solar noon.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise for a flat surface and point light source. For real-world applications, it provides a good approximation.

Q4: Can this be used for artificial light sources?
A: Yes, the same trigonometric principles apply to any light source, though the calculations may need adjustment for non-parallel light rays.

Q5: What factors affect real-world shadow length?
A: Terrain elevation, atmospheric refraction, and the object's orientation can affect actual shadow length in real-world conditions.