Jacob boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several rotations. The Ferris wheel has a radius of 13 meters, and when Jacob boards the Ferris wheel he is 19 meters above the ground. Imagine an angle with its vertex at the center of the Ferris wheel that subtends the path Jacob travels. a. Define a function \( f \) that expresses Jacob's horizontal distance to the right of the center of the Ferris wheel (in meters) in terms of the number of radians \( \theta \) the angle has swept out since the ride started. \[ f(\theta) = \] [Preview] b. Define a function \( g \) that expresses Jacob's distance above the ground (in meters) in terms of the number of radians \( \theta \) the angle has swept out since the ride started. \[ g(\theta) = \] [Preview] [Submit]
Jacob boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several rotations. The Ferris wheel has a radius of 13 meters, and when Jacob boards the Ferris wheel he is 19 meters above the ground. Imagine an angle with its vertex at the center of the Ferris wheel that subtends the path Jacob travels. a. Define a function \( f \) that expresses Jacob's horizontal distance to the right of the center of the Ferris wheel (in meters) in terms of the number of radians \( \theta \) the angle has swept out since the ride started. \[ f(\theta) = \] [Preview] b. Define a function \( g \) that expresses Jacob's distance above the ground (in meters) in terms of the number of radians \( \theta \) the angle has swept out since the ride started. \[ g(\theta) = \] [Preview] [Submit]
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