Tom is running along a circular track that has a radius of 51 meters. Tom starts at the 3-o'clock position and travels in the CCW direction. Imagine an angle with a vertex at the center of the circular track that subtends the path Tom has traveled. a. Write a formula that expresses the number of radians, 0, the angle has swept out in terms of the number of meters, d, that Tom has traveled since he started running. Preview b. Write a formula that expresses Tom's horizontal distance to the right of the center of the track (in meters), h, in terms of the number of meters, d, that Tom has traveled since he started running. h = Preview c. Write a formula that expresses Tom's vertical distance above the center of the track (in meters), v, in terms of the number of meters, d, that Tom has traveled since he started running. v = Preview d. When Tom has traveled 105 meters he is meters to the right of the center of the track and meters above the center of the track.

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