Answer:
A) 7 ft
Explanation:
The definition of a tangent to a circle is a straight line that touches the circle at only one point.
If two segments originating from a common exterior point are tangent to a circle, then those segments are equal in length.
The top segment of ED is 2 ft.
Therefore, the top segment of EF is also 2 ft.
The bottom segment of ED is 4ft.
Therefore, the left segment of DF is also 4 ft.
As DF is 9 ft, then the right segment of DF is 5 ft, since 9 - 4 = 5.
Therefore, the bottom segment of EF is also 5 ft.
Therefore, the two segments of EF are 2 ft and 5 ft.
So the length of EF is 7 ft.