a.) To determine which of these mountain peaks would be visible from Oahu, consider that you are lying on a surfboard and looking “ straight out ” so that your line of sight is tangent to the surface of Earth at the point where you are. 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 lying, and the line from the center of Earth through Lanai. b.) Assuming that the radius of Earth is 3960 miles, determine the angle formed at the center of Earth. c.) Determine the length of the hypotenuse of the triangle. Is Lanaihale visible from Oahu

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
Problem 14HP
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Suppose that you are surfing off the southeastern shore of Oahu and a local surfer catches your eye.  As a tourist, impressing them with your surfing abilities is out of the question, but maybe you can dazzle them with trig?  You notice 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.

a.) To determine which of these mountain peaks would be visible from Oahu, consider that you are lying on a surfboard and looking “ straight out ” so that your line of sight is tangent to the surface of Earth at the point where you are. 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 lying, and the line from the center of Earth through Lanai.

b.) Assuming that the radius of Earth is 3960 miles, determine the angle formed at the center of Earth.

c.) Determine the length of the hypotenuse of the triangle. Is Lanaihale visible from Oahu?

Distance
Height
(feet)
Island
(miles)
Mountain
Lanai
65
Lanaihale
3,370
Maui
110
Haleakala
10,023
Hawaii
190
Mauna Kea
13,796
Molokai
40
Kamakou
4,961
Transcribed Image Text:Distance Height (feet) Island (miles) Mountain Lanai 65 Lanaihale 3,370 Maui 110 Haleakala 10,023 Hawaii 190 Mauna Kea 13,796 Molokai 40 Kamakou 4,961
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