Respuesta :
Answer:
17 ft
Step-by-step explanation:
I don't think you meant to put pi over 3t ... I think you meant to put pi just over 3
Just plug in 5 assuming t is time in hours.
Evaluate 4 *cos(pi/3 *5)+15
which is 17 ft
The height of tower after 5 hours is 17.68 feet.
What is cosine range?
The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
The Cosine function : f(t) = 4 cos(π/3t) + 15
and, f(t) = 4 cos(2kπ + π/3t) + 15
where k= 0,1,2,3....
The range of cosine function is : Maximum= +1 and minimum= -1
At t=0,
For maximum, f(t)= 4 x1 +15
= 19 feet
For minimum, f(t) = 4 x(-1)+15
= 11 feet
After , 6 hours ,the tide function is: 6 n=5
n= 6/5
f(t) = 4 cos ( 2* [tex]\frac{5* \pi}{6}[/tex] + [tex]\frac{\pi}{3*5}[/tex] ) +15
= 4 cos (26 π/15) + 15
= 4 cos[tex]312^{0}[/tex] + 15
= [tex]4 cos 48^{0}+ 15[/tex]
= 4 x 0.6691 +15
= 17.68 feet.
Thus, the height of tower after 5 hours is 17.68 feet
Learn more about concept here:
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