What is the altitude angle of the sun at noon from winter solstice in Yantai?

At noon from winter to Sunday in Yantai, the altitude angle of the sun is 27.5 degrees.

At noon, the solar altitude angle H = 90°- latitude difference, so you only need to know the geographical latitude of your city to calculate the solar altitude angle.

Formula for calculating the height angle of the sun at noon;

At noon, the height angle of the sun is the largest (90), and the hour angle is 0. The above formula can be simplified as:

sin h = sinφsinδ+cosφcosδ；

Sin h = cos (φ-δ) can be obtained from the formulas of trigonometric functions of the sum and difference of two angles;

For the area where the sun is located in the north of zenith, H = 90-(φ-δ), and for the area where the sun is located in the south of zenith, H = 90-(δ-φ). Adding the two together, the formula for calculating the noon sun height angle is H = 90-| φ-δ |.

Calculation formula of solar altitude angle at other times:

The solar altitude angle varies with local time and solar declination. The declination of the sun is expressed by δ, the geographical latitude of the observation site is expressed by φ, and the local time (hour angle) is expressed by T. There is a calculation formula for the solar altitude angle:

sin h= sin φ sin δ+cos φ cosδ cos t .