Suppose that you are standing on the southeastern shore of Oahu and you see three mountain peaks on the horizon. You want to determine which mountains are visible from Oahu. The possible mountain peaks that can be seen from Oahu and the height (above sea level) of their peaks are given in the table. Distance Height (feet) 3,370 10,023 13,796 4,961 Island (miles) Mountain Lanai Maui Hawaii |Molokai Lanaihale Haleakala Mauna Kea Kamakou 65 110 190 40 (a) To determine which of these mountain peaks would be visible from Oahu, consider that you are standing on the shore and looking “straight out" so that your line of sight is tangent to the surface of Earth at the point where you are standing. Make a sketch of the right triangle formed by your sight line, the radius from the center of Earth to the point where you are standing, and the line from the center of Earth through Lanai.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Suppose that you are standing on the southeastern shore of Oahu and you see three mountain
peaks on the horizon. You want to determine which mountains are visible from Oahu. The
possible mountain peaks that can be seen from Oahu and the height (above sea level) of their
peaks are given in the table.
Distance
Height
(feet)
3,370
10,023
13,796
4,961
Island
(miles)
Mountain
Lanai
Maui
Hawaii
|Molokai
Lanaihale
Haleakala
Mauna Kea
Kamakou
65
110
190
40
(a) To determine which of these mountain peaks would be visible from Oahu, consider that you
are standing on the shore and looking “straight out" so that your line of sight is tangent to the
surface of Earth at the point where you are standing. Make a sketch of the right triangle formed
by your sight line, the radius from the center of Earth to the point where you are standing, and
the line from the center of Earth through Lanai.
Transcribed Image Text:Suppose that you are standing on the southeastern shore of Oahu and you see three mountain peaks on the horizon. You want to determine which mountains are visible from Oahu. The possible mountain peaks that can be seen from Oahu and the height (above sea level) of their peaks are given in the table. Distance Height (feet) 3,370 10,023 13,796 4,961 Island (miles) Mountain Lanai Maui Hawaii |Molokai Lanaihale Haleakala Mauna Kea Kamakou 65 110 190 40 (a) To determine which of these mountain peaks would be visible from Oahu, consider that you are standing on the shore and looking “straight out" so that your line of sight is tangent to the surface of Earth at the point where you are standing. Make a sketch of the right triangle formed by your sight line, the radius from the center of Earth to the point where you are standing, and the line from the center of Earth through Lanai.
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