Question

Pls work out as T-Ratios.

A telegraph pole stranding on level ground is 9 meter tall and is supported by 2 wire guys attached to the top of the pole. Each guy makes an angle of 28° with the top of the pole. How far away from the foot of the pole are the guys anchored?

Answer 1

16.93 m

Explanation:

The triangle for the given scenario is shown below.

From the triangles
`\Delta ABC` and
`\Delta ABD`,

AB is the pole height, BC or BD is the distance of either of the wire guys from the foot of pole, and
`\angle C` or
`\angle D` is the angle that each either of the guys make with the top of pole.

Let the distance of either of the wire guys from the foot of pole be
`x`.

Now, consider
`\Delta ABC`.

Given: AB = 9 m, BC =
`x`, and
`\angle C=28`°.

Using tan ratio of the angle C, we get

`\tan (\angle C)=(AB)/(BC)\\\tan (28)=(9)/(x)\\x=(9)/(\tan (28))=16.93`

Therefore, 16.93 m away from the foot of the pole are the guys anchored.