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In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12

Answer :

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

[tex]y = A cos bx + c[/tex]

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

What is the formula for the amplitude?

[tex]A = 1/2 (Xmax - Xmin)[/tex]

[tex]12 - 2 / 2 = 10/2 = 5[/tex]

[tex]b = 2 pi / 12 = pi/6[/tex]

[tex]c = 1/2 (Xmax + Xmin)[/tex]

[tex]12+2/2 = 7[/tex]

Therefore, the an equation for water level in june for pensacola as a function of time (t)

[tex]f(t) = 5 cos pi/6 t + 7[/tex]

To learn more about the function of time visit:

https://brainly.com/question/24872445

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