ch01-p019 - 19. When the Sun first disappears while lying...

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19. When the Sun first disappears while lying down, your line of sight to the top of the Sun is tangent to the Earth’s surface at point A shown in the figure. As you stand, elevating your eyes by a height h, the line of sight to the Sun is tangent to the Earth’s surface at point B. Let d be the distance from point B to your eyes. From Pythagorean theorem, we have 22 2 2 2 () 2 dr r h r r h h +=+ =+ + or 2, h h where r is the radius of the Earth. Since rh 5 , the second term can be dropped, leading to 2 2 h . Now the angle between the two radii to the two tangent
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