Answer: 44.83 feet.
Step-by-step explanation:
Based on the information given in the problem, you can draw a rigth triangle like the one shown attached, where x is the lenght of the wire.
Then, you can calculate the length of the wire as following:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Where:
[tex]\alpha=48\°\\adjacent=30\\hypotenuse=x[/tex]
Substitute values and solve for x.
[tex]cos(48\°)=\frac{30}{x}\\\\x=\frac{30}{cos(48\°)}\\\\x=44.8[/tex]
Therefore, the lenght of the wire is: 44.83 feet.
