the height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of…

the height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation (h = 8cos(\frac{pi}{10}t)). what is the period of the function?\n\n( \frac{pi}{20}) seconds\n\n( \frac{pi}{10}) seconds\n\n8 seconds\n\n20 seconds

the height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation (h = 8cos(\frac{pi}{10}t)). what is the period of the function?\n\n( \frac{pi}{20}) seconds\n\n( \frac{pi}{10}) seconds\n\n8 seconds\n\n20 seconds

Answer

Answer:

D. 20 seconds

Explanation:

Step1: Recall cosine - function period formula

For $y = A\cos(Bt)$, the period $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

In $h = 8\cos(\frac{\pi}{10}t)$, $B=\frac{\pi}{10}$.

Step3: Calculate the period

$T=\frac{2\pi}{\frac{\pi}{10}} = 2\pi\times\frac{10}{\pi}=20$ seconds.