By using what we know about right triangles, we will see that the height is 11.7 m.
We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.
We know that the hypotenuse measures 14 m, and the angle between the ground and the wire si 57°. The height would be the opposite cathetus to that angle, so we can use the rule:
Sin(a) = (opposite cathetus)/hypotenuse
Replacing the values we get:
Sin(57°) = H/14m
Sin(57°)*14m = H = 11.7m
The height of the tower is 11.7 meters.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700