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?

Question

Mathematics

Guest

4 June, 04:32

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?

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Answers (2)

Know the Answer?

Aidan Huang · Answer 1

it is 80m the maxium of the firris wheel

Aleena Noble · Answer 2

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.