*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°)
*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°)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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