Rene is setting up a holiday light display. He wants to make a "tree" in the shape of two right triangles and has two 10 -foot strings of lights to use for the sides. He will attach the lights to the top of a pole and to two stakes on the ground. He wants the height of the pole to be the same as the distance from the base of the pole to each stake. How tall should the pole be? Round to the nearest tenth of a foot.

Use the Pythagorean Theorem: In any right triangle, where \(a\) and \(b\) are the lengths of the legs and \(c\) is the length of the hypotenuse, as shown in the given figure, \(a^{2}+b^{2}=c^{2}\).

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C b