Sun Angle Calculator
Find the sun's elevation at solar noon.
At solar noon, the sun's height depends on your latitude and the season (declination).
How the Math Works
The Sun Angle Calculator uses the formula elevation = 90° − |latitude − declination| to determine the sun's elevation at solar noon. Latitude represents your position north or south of the equator, while declination is the sun’s apparent latitude, varying with the seasons. The absolute difference between latitude and declination gives the zenith angle (the angle between the sun and directly overhead). Subtracting this from 90° converts it to elevation, the angle above the horizon. This simplifies complex astronomical calculations into a single, user-friendly equation for quick results.
Practical Applications
To use this calculator, input your geographic latitude and the date of interest. The tool automatically determines the sun’s declination for that date using astronomical algorithms, then applies the formula. This is invaluable for solar panel installation, ensuring panels are angled optimally to capture sunlight. Architects use it for designing buildings with efficient shading, while photographers rely on it to time shoots for ideal lighting. Farmers also use it to plan irrigation or planting, as sun elevation affects plant growth and water needs.
Day-to-Day Use
In daily life, knowing the sun’s elevation helps maximize comfort and efficiency. For outdoor activities like gardening, sports, or construction, it guides timing to avoid harsh midday sun or plan for optimal natural light. Solar energy users can refine energy production by aligning panels with the sun’s path. Even everyday tasks like photography, solar cooking, or navigating using shadows become easier with this knowledge, making the calculator a practical tool for informed decision-making.
Worked example
Latitude 40°, declination 0° → 50° elevation at noon.
FAQ
What is solar declination?
The sun's angle north/south of the equator, varying with the seasons.