Answer:
293 feet
Step-by-step explanation:
The distance the wire is attached in the tower is 200 feet
the angle between the wire and the tower is 47 degrees
The length of the wire (x) is the hypotenuse of the triangles formed
The formed triangle is a right angle triangle
For 47 degree angle the adjacent side is 200 feet and hypotenuse is x
[tex]cos(theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(47)=\frac{200}{x}[/tex]
Cross multiply it
[tex]xcos(47)= 200[/tex]
divide by cos on both sides
[tex]x=\frac{200}{cos(47)}[/tex]
x=293.25 feet
