Answer
$x=219.94~ft$
Work Step by Step
The wire is the hypotenuse of the right triangle.
Let the measure of the wire be $x$:
$sin~θ=\frac{opp}{hyp}$
$sin~43°=\frac{150}{x}$
$x=\frac{150}{sin~43°}$ (Use a calculator to evaluate $sin~43°$)
$x=219.94$
