Understanding the Concepts
* Winter Solstice: This is the day with the shortest period of daylight in the Northern Hemisphere. The sun's declination (angular distance from the celestial equator) is at its most negative value (-23.45°).
* Latitude: A location's latitude determines its distance from the equator.
* Solar Altitude: The angle between the sun and the horizon.
Calculations
1. Solar Declination: On the winter solstice, the sun's declination is -23.45°.
2. Latitude: The observer is at 38° N latitude.
3. Solar Altitude at Noon: The solar altitude at noon can be calculated using the following formula:
Solar Altitude = 90° - Latitude + Declination
Solar Altitude = 90° - 38° + (-23.45°)
Solar Altitude = 28.55°
4. Angle from Southern Horizon: Since the sun is south of the observer on the winter solstice, the angle between the noon sun and the southern horizon is simply the solar altitude:
Angle = 28.55°
Therefore, the angle between the noon sun on the winter solstice and the southern horizon for an observer at 38° N latitude is approximately 28.55°.
