Answer:
The required equation is
.
Step-by-step explanation:
It is given that the height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. It means the minimum height is 9 feet and the maximum height is 10.
At x=0 is 12:00 a.m, it means the function is maximum at x=0. So, the general equation is defined as

Where, a is amplitude, w is period, t is time in hours and b is midline.
Midline is the average of minimum and maximum height.

Amplitude is the distance of maximum of minimum value from midline.

Now, the equation can be written as
.... (1)
At t = 0 is 12:00 a.m, so t=3 is 3:00 a.m and the y=9.5 at x=3.





Substitute this value in equation (1).

Therefore the required equation is
.