Answer :
According to the given sine function, it is found that the period of rotation is of 0.21 seconds.
What is the period of a sine function?
Suppose a sine function modeled by:
[tex]y = A\sin{[B(x + c)]}[/tex]
The period is given by:
[tex]P = \frac{2\pi}{B}[/tex].
In this problem, the function is:
h(t)=60+45 sin (30t).
The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:
[tex]P = \frac{2\pi}{30} = 0.21[/tex]
The period of rotation is of 0.21 seconds.
More can be learned about the period of a sine function at https://brainly.com/question/16818112