Question 1142925
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(a)  Middle line of the function h = f(t) = the height of the center of the ferris wheel = 6 + 60/2 = 6 + 30 = 36 meters.



(b)  The period of rotation is 18 minutes; so the wheel turns  {{{360/18}}} = 20 degrees per minute.


     The condition does not say if the wheel rotates clockwise or anti-clockwise.


     If it rotates clockwise, the current angle is  {{{alpha}}} = 270 - 20*t degrees, where t is the time in minutes.


     Then the height function  h = f(t) = {{{36 + 30*sin(alpha)}}} = {{{36 + 30*sin(270 - 20t)}}}.



     If the wheel rotates anti-clockwise, the current angle is  {{{beta}}} = 270 + 20*t degrees.


     Then the height function  h = g(t) = {{{36 + 30*sin(beta)}}} = {{{36 + 30*sin(270 + 20t)}}}.



     If you look into these height functions, you will see that actually 


        f(t) = g(t)


    independently of the direction of rotation. So, in both cases


        h = f(t) = {{{36 + 30*sin(270 - 20t)}}} = g(t) = {{{36 + 30*sin(270 + 20t)}}}.
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