The center of the Ferris wheel is 15 meters above the ground and the radius of the Ferris wheel is 10 meters. Kristin Boards the Ferris wheel at 3-o'clock position and rides the Ferris wheel for one full rotation. The variable v represents Kirsten's height above the center of the Ferris wheel (in meters). What is the expression using v that represents Kristin's height above the ground in meters? And the formula that expresses d (Kristin's varying height above the ground) in terms of v?

a) v (t) = 10*sin (w*t)

b) d (t) = 15 + 10*sin (w*t)

Step-by-step explanation:

- The wheel as the center of the coordinates system

- The varying height v (t) above the center after t minutes is given by a sinusoidal expression.

v (t) = 10*sin (w (t)) = ==> v (t) = 10*sin (w*t)

- When v (t) < 0 means that Kristin is below the center of the wheel.

- Since the center of the Ferris wheel is 15 meters above the ground, the height d (t) above the ground after t minutes is given by

d (t) = 15 + C (t)

d (t) = 15 + 10*sin (w*t)

Where, w: The angular speed of the Ferris wheel.