Answer:
16 ft
Explanation:
We are here given that the side lengths of the state flag are in ratio 4:7 . Let us take the ratio to be
.
Now we are given that the flag is 28 ft. long. So ;
![\longrightarrow 7x = 28\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/ygh0hpkw0xk02amkkxxpemqxf8qnv8dvbq.png)
Divide both sides by 7 ,
![\longrightarrow x = 4](https://img.qammunity.org/2023/formulas/mathematics/high-school/y4du7fu0jy7lhwx5qtbk7j7si8vnhy21ip.png)
Therefore the height of the flag will be ,
![\longrightarrow h = 4x](https://img.qammunity.org/2023/formulas/mathematics/high-school/nmat3udr7l85z22bh2jypuf3tn269jgmo7.png)
Substitute for x ,
![\longrightarrow h = 4(4) ft](https://img.qammunity.org/2023/formulas/mathematics/high-school/ybawlrvspqglpgm8rouc6i60vf5g8te7yl.png)
Multiply,
![\longrightarrow\underline{\underline{ h = 16ft}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k6z6c5nir97dbmugfhtmuhy6khofoz2by6.png)
And we are done!