Answer:
[tex]CE=5.5\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection
That means ----> Triangles ODC and OEC are right triangles
In the right triangle OEC
we have
[tex]OE=OD=4.8\ units[/tex] ----> radius of the circle
[tex]OC=7.3\ units[/tex]
Applying the Pythagorean Theorem
[tex]OC^2=OE^2+CE^2[/tex]
substitute the given values
[tex]7.3^2=4.8^2+CE^2[/tex]
[tex]CE^2=7.3^2-4.8^2\\CE^2=30.25\\CE=5.5\ units[/tex]
