A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h = 1.7 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles.

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A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water
is h = 1.7 m, and the radius of the Earth is R = 6.38 x 106 m.
(a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the
angle between the line of sight and the radius of the earth is 90°.)
(b) Express this distance in miles.
Transcribed Image Text:A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h = 1.7 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles.
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