Centered 7 meters above the ground, a ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second. a. assuming that you begin at time t = 0 seconds at the lowest point on the wheel, find a formula that describes the distance h (in meters) from you to the ground after t seconds of riding. b. at what times are you 10 meters above the ground? explain clearly how you got your solution.

At time t is h (shown by point A)To calculate h, we need to find out length CDIf angle ACD = θ (which is a function of time, t)then, CD = 10Cosθtherefore, h = length OD = OC - CD = 11-10Cosθh = 11-10Cosθ    eq1

need to find out how θ is changing as a function of time, tSince, ferris wheel makes a complete revolution (360 deg turn) in 20 secThis means θ(t) = (360/20)*t = 18t in degrees

since 180 deg = PI radians => 1 deg = PI/180 radianstherefore, θ(t) = 18t*PI/180 = PI*t/10 radiansPlug this value in eq1h(t) = 11-10Cos(PI*t/10)