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Consider the following locations that are given below, and drawn in both Figures

ID: 286510 • Letter: C

Question

Consider the following locations that are given below, and drawn in both Figures below. You will now calculate the solar noon sun angle for each of those two different dates. 2 and 3, four locations on Location A - 23.5° S Latitude| 1. Determine the latitude where the sun is d Location B- Latitude l head at noon, on the given date. Location C- 30.0° N Latitude 2. Determine the difference in degrees ocation D- 66.5 N Latitude ween THAT location, and the latitude of the loca- of latitude be- tion you are CALCULATING for. 3.Subtrast that difference from 90. I. Caleulate the solar noon sun angle for each of the locations listed above on December 22. Use the figure 2 below to help you visualize how the solar noon sun angle changes for locations in which the sun is not located directly overhead 23 S S 2 3 S 9 0 53.S Figure 2. Profile view of the earth's surface, December 22. Your answers should show that the sun angle does indeed vary with latitude. However, it also varies by season as well. Remember that on June 21, the Summer Solstice for the Northem Hemisphere), the location of the sun has apparently migrated to the Tropic of Cancer,23.5°N As a result the solar noon sun angles will have changed for the above referenced locations. 2, USING THE SAME LOCATIONS YOU USED IN PROBLEM #1, calculate the solar noon sun angle for each location in the figure below, for JUNE 21. 83.5 Figure 3. Profile view of the earth's surface, June 21.

Explanation / Answer

Location A: 23.5oS

Location B: 0o

Location C: 30oN

Location D: 66.5oN

Figure 2. December 22:

Sun is directly overheaded at noon at 23.5oS latitude.

Location A: 23.5oS:

Difference in latitude = (23.5 - 23.5) = 0o.

Solar noon Sun angle = (90 - 0) = 90o.

Location B: 0o:

Difference in latitude = (23.5 - 0) = 23.5o.

Solar noon Sun angle = (90 - 23.5) = 66.5o.

Location C: 30oN:

Difference in latitude = (23.5 + 30) = 53.5o.

Solar noon Sun angle = (90 - 53.5) = 36.5o.

Location D: 66.5oN:

Difference in latitude = (23.5 + 66.5) = 90o.

Solar noon Sun angle = (90 - 90) = 0o.

Figure 3. June 21:

Sun is directly overheaded at noon at 23.5oN latitude.

Location A: 23.5oS:

Difference in latitude = (23.5 + 23.5) = 47o.

Solar noon Sun angle = (90 - 47) = 43o.

Location B: 0o:

Difference in latitude = (23.5 - 0) = 23.5o.

Solar noon Sun angle = (90 - 23.5) = 66.5o.

Location C: 30oN:

Difference in latitude = (30 - 23.5) = 6.5o.

Solar noon Sun angle = (90 - 6.5) = 83.5o.

Location D: 66.5oN:

Difference in latitude = (66.5 - 23.5) = 43o.

Solar noon Sun angle = (90 - 43) = 47o.

Thats all. Thank you.

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