Answer:
10.9 meters
Step-by-step explanation:
This situation forms a right triangle, where the telephone pole is a leg of the triangle and the wire is the hypotenuse.
The angle with the ground is the angle of elevation.
Use the trig ratio sin (opposite / hypotenuse), and solve for x, the length of the wire:
sin 47 = [tex]\frac{8}{x}[/tex]
(sin 47)(x) = 8
x = 10.9
So, rounded to the nearest tenth, the wire is 10.9 meters long