Answer
$20$ seconds
Work Step by Step
The sine function is:
$$y=a\sin b(x-c)+d$$
Rewriting the given function:
$$h(t)=50\sin \frac{\pi}{10}(t-5)+53$$
Thus, $b=\frac{\pi}{10}$
$$period=\frac{2\pi}{b}=\frac{2\pi}{\frac{\pi}{10}}=20$$
Thus, the period is $20$ which means it takes $20$ seconds for the Ferris wheel to complete one revolution.
