Using trigonometric relations, we can see that the length of the wire is 1,454.5 ft.
How can we find the length of the wire?
We can think of this as a right triangle, such that the height of the tower is one of the legs, and the wire is the hypotenuse.
In this case, we know that the angle between the tower and the wire measures 55.4°, and the height is the adjacent cathetus to this angle.
Then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Where:
a = 55.4°
adjacent cathetus = 600ft
hypotenuse = L = length of the wire.
Replacing that we get:
cos(55.4°) = 600ft/L
L = 600ft/cos(55.4°) = 1,454.5 ft
We conclude that the length of the wire is 1,454.5 ft.
If you want to learn more about right triangles:
https://brainly.com/question/2217700
#SPJ1
