What percentage of Earths surface area could the astronauts see when Skylab 4 was at its apogee

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What percentage of Earth’s surface area could the astronauts see when Skylab 4 was at its apogee height, 437 km above the surface? To find out, model the visible surface as the surface generated by revolving the circular arc GT, shown here, about the y-axis. Then carry out these steps:


1. Use similar triangles in the figure to show that y0/6380 = 6380/(6380 + 437). Solve for y0.


2. To four significant digits, calculate the visible area asimage


3. Express the result as a percentage of Earth’s surface area.image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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