Question

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 h=0.75cos(pi/30(t-15))+8. Which number (from 1 to 12) is the minute hand pointing to at t = 0?
A.) 3
B.) 6
C.) 9
D.) 12

Answer 1

Which number (from 1 to 12) is the minute hand pointing to at t = 0? i believe it is C.9

Answer 2

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 $h=0.75\cos (\frac{\pi}{30(t-15)})+8$.

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  $h=0.75\cos (\frac{\pi}{30(t-15)})+8$

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,

$h=0.75\cos (\frac{\pi}{30(t-15)})+8$

$h=0.75\cos (\frac{\pi}{30(0-15)})+8$

$h=0.75\cos (\frac{\pi}{-450})+8$

$h=0.75(0.999)+8$

$h=0.749+8$

$h=8.749$

Approximately h=9

Therefore, Option C is correct.