Answer: 193.6 ft
Step-by-step explanation:
Since, the length of the wire = 200 ft,
And, the height of the tower = 50 ft,
Let x be the distance along the ground from the center of the tower to the point where the wire touches the ground,
By the below diagram,
[tex] (\text{The length of the wire})^2 = (\text{The height of the tower})^2 +x^2[/tex]
[tex]\implies 200^2=50^2+x^2[/tex]
[tex]\implies -x^2 = 2500-40000=-37500[/tex]
[tex]\implies x^2=37500\implies x = 193.64916731\approx 193.6[/tex]
Hence, the distance along the ground from the center of the tower to the point where the wire touches the ground is approximately 193.6 feet.
