Andrea built a circular barbecue pit with a circumference
of 9 feet. She wants a rod to go across the pit to use for a
rotisserie. The rod must go from one edge of the pit to
the other, passing through its center. To the nearest foot,
how long must the rod be?

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?