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

Option C - 9

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 ((\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 ((\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 ((\pi)/(30(t-15)))+8`

`h=0.75\cos ((\pi)/(30(0-15)))+8`

`h=0.75\cos ((\pi)/(-450))+8`

`h=0.75(0.999)+8`

`h=0.749+8`

`h=8.749`

Approximately h=9

Therefore, Option C is correct.