32. A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two roads meet at an angle of 38° at point B. The distance from A to B is 18 mi, and the distance from B to C is 12 mi (see the figure). If the bicyclist can ride 22 mph on the paved roads and 6.8 mph off-road, would it be faster for the bicyclist to ride from A to C on the paved roads or to ride a direct line from A to C off-road? Explain. C 12 mi B 38° -- -- 18 mi A

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