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?

it is 80m the maxium of the firris wheel

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

Step-by-step 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.