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.

A: 4.7ft
B: 7.9ft
C: 62.5ft
D:22.0ft

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine how far from the base of the pole 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 that each bracket should be braced in the ground.

Using the Pythagorean theorem, we can set up the following equation:

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 ≈ 4.7ft (rounded to the nearest tenth)

Therefore, the distance from the base of the pole that each bracket should be braced in the ground is approximately 4.7ft.

Answer: A: 4.7ft