the depth of the water at the end of a pier changes periodically along with the movement of tides. on a…

the depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. let t = 0 be 12:00 am. write a cosine model, d = a*cos(b*t)+k, for the depth as a function of time. this amplitude is meters. a =

the depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. let t = 0 be 12:00 am. write a cosine model, d = a*cos(b*t)+k, for the depth as a function of time. this amplitude is meters. a =

Answer

Explanation:

Step1: Calcular la amplitud

La amplitud $a$ de una función coseno $d = a\cos(bt)+k$ se calcula como la mitad de la diferencia entre el valor máximo y el valor mínimo de la función. El valor máximo de la profundidad es $5.5$ m y el valor mínimo es $2.5$ m. $a=\frac{5.5 - 2.5}{2}$

Step2: Simplificar la expresión

$a=\frac{3}{2}=1.5$

Answer:

1.5