Answer:
The minimum height of the flag is 9 feet.
Step-by-step explanation:
The function representing the height of the flag is given by,
![h(t)=3\sin (\frac{4pi}{5}(t-\frac{1}{2}))+12](https://tex.z-dn.net/?f=h%28t%29%3D3%5Csin%20%28%5Cfrac%7B4pi%7D%7B5%7D%28t-%5Cfrac%7B1%7D%7B2%7D%29%29%2B12)
It is required to find the minimum height of the flag.
As, we know,
<em>The function
have values between [-1,1] for all values of t.</em>
So,
have values between [-1,1] for all values of t.
Then,
have values between [-3,3] for all values of t.
Thus,
have values between [-3+12,3+12] for all values of t.
<em>That is,
have values between [9,15] for all values of t.</em>
Hence, the minimum height of the flag is 9 feet.