Given a point on the Earth of latitude a, the angle of elevation of the Sun is at its minimum
of
Dallas, Texas, has latitude
a. Find the angle of elevation of the Sun at noon on the winter solstice and summer solstice.
b. Suppose that the winter solstice is
c. Graph the function from part (b) on a graphing utility.
d. Determine the angle of elevation of the Sun at noon on February
e. How many days into the year will the spring and fall equinoxes occur? Round to the nearest day. (Hint: The angle of elevation of the Sun at noon on an equinox will be halfway between its minimum and maximum value. This is the day of the year when the duration of daylight equals the duration of darkness.)
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Precalculus
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