Using the Pythagorean theorem, we can find the distance from the tower to the point where the wire is attached to the ground:
a^2 + b^2 = c^2
where a is the distance from the tower to the point on the ground, b is the height of the tower (100 feet), and c is the length of the wire (200 feet).
Rearranging the equation, we get:
a = sqrt(c^2 - b^2)
Substituting the given values, we get:
a = sqrt(200^2 - 100^2)
a = sqrt(40000 - 10000)
a = sqrt(30000)
a = 173.2 feet (rounded to one decimal place)
Therefore, the distance from the tower to the point where the wire is attached to the ground is approximately 173.2 feet.