Where will the sun appear in the sky tomorrow at 3 pm relative to where it appears today at the same time?

Answer 1

If you record the position of the Sun at the same time each day, it will make a figure-8 shape called an "analemma" in the sky over the course of a year. Because the earth's axis is continuously changing its orientation relative to the sun, and because the earth's elliptical orbit means that earth's orbital velocity is continuously changing throughout the year, the sun's position in the sky at a given moment of Universal Time will be a little different day after day. In the north, the sun has begun to transit at a lower point each day, a trend that will continue until our northern winter solstice in December. So each day at 3pm the sun will be slightly lower than it was the day before.

There is also an east-west effect that another contributor can explain.