The circle at the right represents a planet. The radius of the planet is about 6600 km. Find the distance to the inizon that a person can seeon a clear day from the following heighth above the planeth

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asked Aug 27, 2023 229k views

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The circle at the right represents a planet. The radius of the planet is about 6600 km-example-1

Mathematics
college

Kevin Young asked

by Kevin Young

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$\begin{gathered} r=6600\operatorname{km} \\ r+h=6600\operatorname{km}+7\operatorname{km} \\ r+h=6607\operatorname{km} \\ (r+h)^2=r^2+d^2 \\ d^2=(r+h)^2-r^2 \\ d=√((r+h)^2-r^2) \\ d=\sqrt[]{(6607)^2-(6600)^2} \\ d=304\operatorname{km} \\ A\text{ person can s}ee\text{ 304 km} \end{gathered}$