Question

5
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 12 feet high
and 16 feet wide. the scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent.
the minimum length of the slanted poles needed to support the fly is feet

Explanation:

Step1: Find the base length of the right - triangle

Since the fly is 16 feet wide, the base of the right - triangle formed by the pole, the height of the fly, and half of the width of the fly is \(b=\frac{16}{2}=8\) feet. The height of the fly \(h = 12\) feet.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 12\), \(b = 8\), and \(c\) is the length of the slanted pole.

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Answer:

\(14.42\)