*or the following problems, #5-8, use the following information (round answers to hundredths place): cos-1 (tan i tan 0) The formula D = 24 [1- can be used to approximate the number of hours or daylight D when the declination of the Sun is i at a location 0 north latitude for any date between the vernal equinox and autumnal equinox, The declination of the Sun is defined as the angle i betweenthe eqdatorial plane and any ray of light from the Sun. The latitude of a location is the angle 9 between the Equator and the location on the surface of the Earth, with the vertex of the angle located at the center of the Earth. See the figure. To use the formula, cos-1(tan i tan 0) must be expressedin radians. Round to two decimal places if needed. Pole Pole Sun 6° North latitude Equator Equator Approximate the number of hours of daylight in New York, New York (40°45' north latitude), for the following dates: 5. Summersolstice (i=23.5°) Approximate the number of hours of daylight in Albemarle, North Carolina (35°21' north latitude), for the following dates: 7. Summersolstice (i=23.5°) 8. Vernal Equinox (i=0°) 6. Vernal Equinox (i=0°)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 10E
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Tor the following problems, #5-8, use the following information (round answers to hundredths place):
cos-1 (tan i tan 0)
The formula D = 24 [1
|can be used to approximate the number of hours
or daylight D when the declination of the Sun is ° at a location 0° north latitude for any date between the
mai equinox and autumnal equinox. The declination of the Sun is defined asthe angle i betweenthe
ddatorial plane and any ray of light from the Sun. The latitude of a location is the angle 0 between the
cguator and the location on the surface of the Earth, with the vertex of the angle located at the center of
ve e ul. See the figure. To use the formula, cos-1(tan i tan 0) must be expressedin radians. Round to
two decimal places if needed.
N
Pole
Pole
Sun
A° North latitude
Equator
Equator
Approximate the number of hours of daylight in New York, New York (40 45' north latitude), for the following
dates:
5. Summersolstice (i=23.5°)
6. Vernal Equinox (i=0°)
Approximate the number of hours of daylight in Albemarle, North Carolina (35°21' north latitude), for the
following dates:
7. Summersolstice (i=23.5°)
8.
Vernal Equinox (i=0°)
Transcribed Image Text:Tor the following problems, #5-8, use the following information (round answers to hundredths place): cos-1 (tan i tan 0) The formula D = 24 [1 |can be used to approximate the number of hours or daylight D when the declination of the Sun is ° at a location 0° north latitude for any date between the mai equinox and autumnal equinox. The declination of the Sun is defined asthe angle i betweenthe ddatorial plane and any ray of light from the Sun. The latitude of a location is the angle 0 between the cguator and the location on the surface of the Earth, with the vertex of the angle located at the center of ve e ul. See the figure. To use the formula, cos-1(tan i tan 0) must be expressedin radians. Round to two decimal places if needed. N Pole Pole Sun A° North latitude Equator Equator Approximate the number of hours of daylight in New York, New York (40 45' north latitude), for the following dates: 5. Summersolstice (i=23.5°) 6. Vernal Equinox (i=0°) Approximate the number of hours of daylight in Albemarle, North Carolina (35°21' north latitude), for the following dates: 7. Summersolstice (i=23.5°) 8. Vernal Equinox (i=0°)
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