Question

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 length of the pole, round o the nearest tenth.

a. 12.00 ft
b. 19.60 ft
c. 24.17 ft
d. 38.40 ft​
NEED HELP ASAP

Answer 1

19.6ft (nearest tenth)

Explanation:

Please refer to the attached photo for better understanding.

Given Length of Wire = BC = 22ft

Given Distance from Grounded Wire to Base of Pole = AC = 10ft

Length of Pole = AB

We can use Pythagoras' Theorem to find Length of Pole, AB.

By Pythagoras' Theorem,

`c^(2) =a^(2) +b^(2) \\BC^(2) =AB^(2) + AC^(2) \\22^(2) =AB^(2) +10^(2) \\484=AB^(2) +100\\AB^(2) =484-100\\AB=√(384) ft\\=19.6ft (nearest tenth)`