The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] where t is time, the second option is correct.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
[tex]\rm y = A\ cos(bx-c)+d[/tex]
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]
b is the cycle speed, we know:
[tex]\rm T = \frac{2\pi}{b}[/tex] (T is period)
[tex]\rm12 = \frac{2\pi}{b}[/tex]
[tex]\rm b=\frac{\pi}{6}[/tex]
The value of d is given by:
[tex]\rm d = \frac{10+9}{2}[/tex]
d = 9.5
The equation can be modeled:
[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] (c =0 and y =h)
Thus, the equation is [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]
Know more about trigonometry here:
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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Step-by-step explanation: edge :)
