A straight line post need some extra support for potential bad weather and high winds the city wants to install metal support brackets on the light post each bracket will be braced into the ground and will then attach to a point on the pole that is 4.5 ft from the ground each bracket is 6.5 ft long how far from the base of the pole should each bracket be braced in the ground round to the nearest tenth
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 x be the distance from the base of the pole.
According to the Pythagorean theorem, we have the equation:
x^2 + 4.5^2 = 6.5^2
Simplifying this equation, we get:
x^2 + 20.25 = 42.25
Rearranging and solving for x:
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, rounded to the nearest tenth.