The largest Ferris Wheel in the world is the London Eye in England. The height (in metres) of a rider on the London Eye after t minutes can be described by the function h(t) = 67 sin[0.2094(t-30)] + 70.
Where is the rider at t = 0? Explain the significance of this
This is what I've done:
h(t) = 67 sin[0.2094(t-30)] + 70
h(0) = 67 sin[0.2094(0-30)] + 70
h(0) = 67 sin[0.2094(-30)] + 70
h(0) = 67 sin(-6.282) + 70
h(0) = -7.331276925 + 70
h(0) = 62.67 m
Therefore, the rider would be at 62.67m at zero seconds which would mean that he or she would be 62.67m above the ground when they started the ride. However, that doesn't make sense because the rider should be starting the ride at the bottom.
I would think the starting point of the ride would be -1(67) + 70 = 3m.