Different types of granular substances naturally settle at different angles when stored in cone-shaped piles. This angle θ is called the angle of repose (see figure). When rock salt is stored in a cone-shaped pile 5.5 meters high, the diameter of the pile's base is about 17 meters.

(a) Find the angle of repose for rock salt.
(b) How tall is a pile of rock salt that has a base diameter of 20 meters?

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5.5 m 8.5 m