Find The True Azimuth At Sunrise

At Lat 55° 53' N, Long 130° 18 W, sun's declination is 12° 40' S. Find the true azimuth (Zn) at sunset.

Given:

     Latitude = 55° 53'
Declination = 12° 40' S

What is asked?

True azimuth at sunset

Solution:

1. We have to get first the amplitude. This is the formula for amplitude:

                Sin amplitude = Sin Declination
                                         Cos Latitude
                                     = Sin 12° 40' 
                                        Cos 55° 53'
                                     = 0.21928
                                        0.56088
               Sin Amplitude = 0.39096
                                     = 0.39396 inv Sin 
                     Amplitude = W 23 S             (West because the sun is setting)
                                                                   (3rd quadrant)
2. Solving for true azimuth. Since the sun is setting, we have to subtract 270° by our amplitude.

                            270°
                          -   23°       (minus because it is in the 3rd quadrant)
                            247° T is the true azimuth of the sun at sunset

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