Chapter 9.4, Problem 61E

(a)

To determine

To graph: The function.

Answer to Problem 61E

The graph of the function is shown in Figure (1).

Explanation of Solution

Consider the function.

  $h=85\sin \frac{\pi }{20}\left(t-10\right)+90$

The graph of the above function is shown below.

  

Figure (1)

Therefore, the graph of the given function is shown in Figure (1).

(b)

To determine

To find: The number of cycle Ferris wheel make in 180 seconds.

Answer to Problem 61E

The number of cycle Ferris wheel makes in 180 seconds are $5$ .

Explanation of Solution

Consider Figure (1).

It is visible from the graph the number of cycle completed by the wheels in $180$ seconds are $5$ .

Therefore, the number of cycle completed is $5$ .

(c)

To determine

To find : The maximum and minimum height.

Answer to Problem 61E

The maximum height is $175\text{ft}$ and minimum height is $5\text{ft}$ .

Explanation of Solution

Consider Figure (1).

The maximum height is,

  $H_{\max }=175\text{ft}$

The minimum height is,

  $H_{\min }=5\text{ft}$

Therefore, the maximum height is $175\text{ft}$ and minimum height is $5\text{ft}$ .