Question

type the correct answer in the box. write your answer to two decimal places. a youth group is setting up camp. rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. the fly will be the minimum length of the slanted poles needed to support the fly is feet.

Explanation:

Step1: Apply Pythagorean theorem

We consider a right - triangle formed by half of the base length and the height of the tent. The base of the right - triangle is $\frac{16}{2}=8$ feet and the height is 12 feet. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 8$, $b = 12$, and $c$ is the length of the slanted pole.

Step2: Calculate $c$

Substitute $a = 8$ and $b = 12$ into the Pythagorean theorem: $c=\sqrt{8^{2}+12^{2}}=\sqrt{64 + 144}=\sqrt{208}\approx14.42$

Answer:

14.42