Problem

For any location on the earth, the apparent position of the sun at any time can be given b...

For any location on the earth, the apparent position of the sun at any time can be given by its azimuth (see problem) and its altitude. The altitude is the angle of the sun measured up from the horizon. Because the sun is at the horizon at sunrise or sunset, we can ignore altitude at these times of day and use just azimuth to locate the sun. Use a circle as shown to represent the horizon and locate the apparent positions of the sun at sunrise and sunset for the following cities on July 1, 2006.

a. Oslo, Norway: sunrise at 3:03 AM, azimuth 36.7°; sunset at 9:38 PM, azimuth 323.1°
b. Cuiaba, Brazil: sunrise at 6:07 AM, azimuth 66.8°; sunset at 5:48 PM, azimuth 293.2°
c. Ushuaia, Tierra del Fuego: sunrise at 9:00 AM, azimuth 48.1°; sunset at 4:14 PM, azimuth 311.7°

Problem

The azimuth of a line segment is the angle that the line segment makes with a north-south line. It is measured from 0° to 360° in a clockwise direction from the north. In the following example, the azimuth of is 250°.