Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the distance is [tex]l_2[/tex], while the other measures are [tex]l_1 = 24, h = 26[/tex], hence:
[tex]24^2 + l_2^2 = 26^2[/tex]
[tex]l_2 = \sqrt{26^2 - 24^2}[/tex]
[tex]l_2 = 10[/tex]
The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
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