A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale swims directly away from the shore. point of release coast guard station O tan(0) = O sec(0) = (a) Which of the following equations can be used to relate the angle, 0, and the distance between the whale and the point of release, x? O cos(0) = O sin(0) = O tan(0) = 400 X 400 X 400 X 400 400 X O cos² (8) de dt (b) Which of the following would be an appropriate related rate equation for the answer to part (a)? O sec² (8) de 1 dx 400 dt dt O cos² (8) de dt = O sec(0)tan (0) O sec² (8) dx dt = F 1 dx 400 dt de 8 dt = dx dt X 1 dx 400 dt whale 1 de 400 dt (c) If the whale swims at a constant rate of 60 meters per minute, how fast is the angle 9 changing when the whale is 300 meters from the point of release? Give an exact answer. radians per minute

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