What percentage of Earth's surface area could the

Chapter 13, Problem 13.32

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What percentage of Earth's surface area could the astronauts see when Skylab 4 was at its apogee height, 437 Ian 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 sintilar triangles in the figure to show that yo/6380 = 6380/(6380 + 437). Solve for Yo. 2. To four significant digits, calculate the visible area as VA = f802'1fX~1 + (:Y dy. 3. Express the result as a percentage of Earth's surface area.

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