To find 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 call the distance we are trying to find "x".
According to the problem, we have a right triangle with one leg measuring 4.5 ft (from the ground to the point on the pole where the bracket is attached) and another leg measuring x ft (from the base of the pole to the point where the bracket is braced). The hypotenuse of this triangle is the length of the bracket, which is 6.5 ft.
Using the Pythagorean theorem, we can write the following equation:
x^2 + 4.5^2 = 6.5^2
Simplifying:
x^2 + 20.25 = 42.25
Subtracting 20.25 from both sides:
x^2 = 22
Taking the square root of both sides:
x = √22
Rounding to the nearest tenth, x ≈ 4.7
Therefore, each bracket should be braced in the ground approximately 4.7 ft from the base of the pole.
A streetlight post needs 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.(1 point)
2 answers
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