Question

question 18 of 25
the height of a seat on a ferris wheel can be modeled as
$h(t)=48sin(\frac{pi}{30}t+\frac{3pi}{2})+53$, where $t$ is time in seconds and $h(t)$ is
height in feet.
how far off the ground is a seat when it is at the top of the ferris wheel?
a. 96 feet
b. 53 feet
c. 101 feet
d. 106 feet

Explanation:

Step1: Find max value of sine term

The maximum value of $\sin(\theta)$ is 1, regardless of $\theta$.

Step2: Calculate max height

Substitute $\sin(\frac{\pi}{30}t + \frac{3\pi}{2}) = 1$ into $H(t)$:
$H(t) = 48(1) + 53 = 101$

Answer:

C. 101 feet