Answer:
14.42 feet
Step-by-step explanation:
In the figure, we can see that the pole form a right triangle with legs equal to 12 feet and 8 feet, where 8 ft is half the wide or 16 ft/2 = 8 ft.
Then, by the Pythagorean theorem, the length of the slanted pole square is equal to the sum of the square of the legs, so

Where x is the minimum length of the slanted pole. Therefore, x is equal to
![\begin{gathered} x^2=144+64 \\ x^2=208 \\ x=\sqrt[]{208} \\ x=14.42 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/djg20gw1a92rkmtk5pw7fyzddu89gclqz0.png)
Therefore, the answer is 14.42 feet.