1. What Is Shadow Length Calculation?

Shadow length calculation determines the length of a shadow cast by an object based on its height and the sun's elevation angle. This trigonometric calculation is fundamental in fields like architecture, photography, and solar energy planning.

2. How Does The Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( Height \) — Object height in meters
• \( Elevation\ Angle \) — Sun's angle above horizon in degrees
• \( \tan \) — Trigonometric tangent function

Explanation: The formula calculates shadow length using basic trigonometry, where the tangent of the elevation angle equals the ratio of object height to shadow length.

3. Importance Of Shadow Length Calculation

Details: Accurate shadow length calculation is essential for architectural planning, solar panel placement, photography composition, and understanding seasonal sunlight patterns for gardening and agriculture.

4. Using The Calculator

Tips: Enter object height in meters and sun elevation angle in degrees (0-90°). The angle must be between 0 and 90 degrees for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is the elevation angle?
A: The elevation angle is the angle between the horizon and the sun, measured in degrees. At sunrise/sunset it's 0°, at noon it's highest.

Q2: Why does the angle need to be less than 90 degrees?
A: At exactly 90° (directly overhead), the tangent function is undefined, and shadows are virtually non-existent.

Q3: Can I use different units of measurement?
A: The calculator uses meters, but you can use any unit as long as you're consistent (the result will be in the same unit).

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for a point light source. For sunlight, it's an excellent approximation for most practical purposes.

Q5: Does this work for artificial light sources?
A: Yes, the formula works for any light source, provided you know the elevation angle of the light relative to the object.