FIRST ANSWERS angles in common), therefore their corresponding sides are in the same ratio. This permits the simple linear equation: x/(2 4 0 ,0 0 0 - x) = i.ooo/4>ooo =
xk ,
which gives x a value of 48,000 miles. At a distance of 48,000 miles from the moon’s center, the earth and moon will appear identical in size. Colonel Couth looked over Tanya’s diagram and nod ded approval. “Excellent. Now you can use the same draw ing to work on a tougher problem. How would you go about constructing an orbit for the Bagel, around the moon and on a plane passing through the centers of the earth and moon, such that anywhere along that orbit the moon and earth will always look the same size?” It took longer, but Tanya solved this also. Can you?
102