Shadow Length Calculator
To determine shadow length, divide the height of the object by the tangent of the sun’s angle. This method is essential for architectural planning, solar studies, and geometric calculations.
A shadow length calculator is useful in astronomy, photography, and construction. Whether using a sun shadow calculator or a tree shadow calculator, precise measurements help in predicting shadow movement throughout the day.
Formula:
Where:
| Symbol | Description |
|---|---|
| L | Shadow Length (meters or feet) |
| H | Object Height (meters or feet) |
| a | Sun Angle (degrees) |
What is a Shadow Length Calculator?
A shadow length calculator determines the length of a shadow based on the height of an object and the sun’s altitude angle. This tool is widely used in architecture, solar energy studies, and landscaping.
For instance, a gnomon shadow length calculator helps measure solar time, while a tree height calculator using shadows estimates tree heights using similar triangles. Additionally, a solar shadow calculator predicts sun movement and shadow coverage for urban planning and gardening.
Using a shadow length calculator ensures that buildings, solar panels, and outdoor spaces are optimized for sunlight exposure and shading.
Final Words:
Ultimately, a shadow length calculator helps in predicting sunlight patterns and shadow movement. Whether for construction, photography, or astronomy, accurate calculations enhance planning and efficiency.
FAQs:
1. How do you calculate the length of a shadow?
Use the formula L = H / tan(a), where H is object height and a is the sun angle.
2. What is the shadow at 10 AM?
The shadow length varies depending on the sun’s altitude at 10 AM in your location.
3. How to calculate shadow area?
Multiply the shadow length by the object’s width to estimate the shadow coverage.