### What is the circumference and radius of that asteroid

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Assume that a spacecraft lands on an asteroid and bores a hole perpendicular to its surface; it is noticed that the sun shines straight down to the bottom of the hole. Another hole is bored 10 miles "north' of the first hole at the same time, but it is noticed that the Sun makes a 20 degree angle to rod placed into that hole - what is the circumference and radius of that asteroid?

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