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.
4.7 ft.
4.7 ft.
7.9 ft.
7.9 ft.
22.0 ft.
The brackets are 6.5 ft. long and attach to a point on the pole that is 4.5 ft. from the ground. This means that the brackets will need to be braced in the ground at a height of 6.5 ft. - 4.5 ft. = 2 ft. above the ground.
So, each bracket should be braced in the ground 2 ft. above the ground. Therefore, the distance from the base of the pole to where each bracket should be braced in the ground is 2 ft.
The correct answer is 4.7 ft.