Answer:
Option C - 9
Step-by-step explanation:
Given : The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation [tex]h=0.75\cos (\frac{\pi}{30(t-15)})+8[/tex].
To find : Which number (from 1 to 12) is the minute hand pointing to at t = 0?
Solution :
We have given the model of a wall clock [tex]h=0.75\cos (\frac{\pi}{30(t-15)})+8[/tex]
Where h is the height in feet of the tip of the minute hand of a clock wall
and t is the time in minutes
We have to find when t=0 then minute hand pointing to
Substitute t=0 in the given model,
[tex]h=0.75\cos (\frac{\pi}{30(t-15)})+8[/tex]
[tex]h=0.75\cos (\frac{\pi}{30(0-15)})+8[/tex]
[tex]h=0.75\cos (\frac{\pi}{-450})+8[/tex]
[tex]h=0.75(0.999)+8[/tex]
[tex]h=0.749+8[/tex]
[tex]h=8.749[/tex]
Approximately h=9
Therefore, Option C is correct.
