Question

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 1

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

$y = A cos bx + c$

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?

$A = 1/2 (Xmax - Xmin)$

$12 - 2 / 2 = 10/2 = 5$

$b = 2 pi / 12 = pi/6$

$c = 1/2 (Xmax + Xmin)$

$12+2/2 = 7$

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

$f(t) = 5 cos pi/6 t + 7$

To learn more about the function of time visit:

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