To determine the distance from the base of the pole where each bracket should be braced in the ground, we can use the Pythagorean Theorem.
Let's denote the distance from the base of the pole to the point where each bracket is braced in the ground as x.
According to the problem, each bracket is 6.5 ft long and attaches to a point on the pole that is 4.5 ft from the ground.
Using the Pythagorean Theorem, we have:
x^2 + 4.5^2 = 6.5^2
x^2 + 20.25 = 42.25
x^2 = 42.25 - 20.25
x^2 = 22
x ≈ √22
x ≈ 4.7 ft
Therefore, each bracket should be braced in the ground approximately 4.7 ft from the base of the pole.
The correct answer is 4.7 ft.