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A streetlight post needs some extra support for potential bad weather and high winds. The city wants to install metal support b...Question
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)
Responses
62.5 ft.
62.5 ft.
7.9 ft.
7.9 ft.
4.7 ft.
4.7 ft.
22.0 ft.
Responses
62.5 ft.
62.5 ft.
7.9 ft.
7.9 ft.
4.7 ft.
4.7 ft.
22.0 ft.
Answers
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Answered by
GPT 3.5
To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the base of the pole to the point where the bracket is braced in the ground "x".
Using the Pythagorean theorem, we have:
(x^2) + (4.5^2) = (6.5^2)
Simplifying this equation:
x^2 + 20.25 = 42.25
x^2 = 22
x ≈ 4.7
Therefore, each bracket should be braced in the ground approximately 4.7 ft. from the base of the pole.
Using the Pythagorean theorem, we have:
(x^2) + (4.5^2) = (6.5^2)
Simplifying this equation:
x^2 + 20.25 = 42.25
x^2 = 22
x ≈ 4.7
Therefore, each bracket should be braced in the ground approximately 4.7 ft. from the base of the pole.
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