Question

stuart is riding a ferris wheel at the county fair. The Function f(x)= -16cos(π/30 x) + 18 represents the height of the seat stuart is on the ferris wheel, in meters, at any time x (measured in seconds) into the ride. What is the maximum height of the ferris wheel above the ground?

Answer 1

it is 80m the maxium of the firris wheel

Answer 2

The maximum height of the ferris wheel above the ground = 34 m.

Explanation:

The Function f(x)= -16cos(π/30 + x) + 18 represents the height of the seat stuart is on the ferris wheel, in meters, at any time x (measured in seconds) into the ride.

The height is maximum when the trigonometric term in the expression of f(x) would be minimum i.e. cos(π/30 + x)

We know the range of cosine function is -1 ≤ cos∅ ≤ 1.

So, the minimum value of cosine is -1.

Maximum f(x) = -16(-1) + 18 = 16 + 18 = 34 meters.

Hence, the maximum height of the ferris wheel above the ground = 34 m.