   Chapter 3, Problem 2PA

Chapter
Section
Textbook Problem

Imagine you are at the equator on March 21. The noon sun would be directly overhead (90°S). However, for every degree of latitude that you travel to the north or south, the noon solar angle would decrease by the same amount. For example, if you travel to 40°N latitude, the solar angle would be 50°. a. Explain this relationship. b. Develop a formula or set of instructions to generalize this relationship. c. What would be the noon solar angle at 40°N on June 21? On December 21?

a)

To determine

The relationship that could establish the relation between latitude and solar angle as shown in the example, “a travel to 40°N latitude shows a solar angle of 50°”.

Explanation

For each degree of latitude, one travel to the north or south, the solar angle during noon would decline by the same amount. For instance, if you move to 40°N latitude, the solar angle might be 50°.

The angle of incidence of solar radiations during the noon could be found from the latitudinal positions and distances

b)

To determine

A formula or set of instructions to generalize the relationship found in the previous question.

c)

To determine

The noon solar angle at 40°N on June 21 and on December 21.

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