Question

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 7 km

Answer 1

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