A telephone pole anchored to the ground by a cable called guy wire at a point of 5m from the base of the pole. The wire make an angle of 72.5 with the horizontal. What is the height of the pole where the guy wire is attached to the pole?

tan 72.5 = h/5

So tan 72.5 = h/5

=3.1716=15.858/5
=3.1716=3.1716
in short 3.1
Is it right?

sorry I mean 3.17..

By the way I want to say thank you to Damon.For helping me :)

To find the height of the pole, we can use trigonometry.

Let's draw a diagram to visualize the situation:

```
|
|
|
---------------------------------------------------- Ground
| /
| /
h | /
| /
| /
| / g
|/

```
In the diagram, the pole has height 'h' and the guy wire is represented by the line labeled 'g'. The line labeled 'h' is the vertical height, and the line labeled 'g' is the distance from the base of the pole to the point where the guy wire is attached.

Now, let's break down the problem:
We have the distance from the base of the pole to the point where the guy wire is attached (g = 5m) and the angle between the guy wire and the horizontal (θ = 72.5°).

We can use the trigonometric function tangent (tan) to relate the angle and the height of the pole:

tan(θ) = h / g

Rearranging the formula, we get:

h = g * tan(θ)

Plugging in the values, we have:

h = 5 * tan(72.5°)

Now we need to calculate this using a calculator or a trigonometric table.

Using a calculator, the calculation would be:

h ≈ 17.64m

Therefore, the height of the pole is approximately 17.64m at the point where the guy wire is attached.