Question

A wire that is 22 feet long connects the top of a pole to the ground. What is the height of the pole? Round to the nearest hundredth. 12.00 feet 19.60 feet 24.17 feet 38.40 feet

Answer 1

B.) 19.60

Explanation:

edge 2021

Answer 2

The question is incomplete. The complete question is :

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Solution :

Given the length of the wire = 22 feet

Horizontal distance between the pole and the point where the wire is attached = 10 feet

Therefore, from Pythagoras theorem, we get from the figure :

`$AB^2=OA^2+OB^2$`

`$OA^2=AB^2-OB^2$`

`$OA^2=22^2-10^2$`

`$OA^2=484-100$`

`$OA^2=384$`

`$OA=√(384)$`

= 19.60 (approx)

Therefore, the height of the pole to the nearest hundredth is 19.60 feet.