Question

In the diagram,CD is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.

Answer 1

Your answer is B. 14 in.

Answer 2

the complete question in the attached figure

we know that
AB=6 in-----> this is the radius of circle
BC=AB-----> 6 in
AC=12 in-------> is the diameter of circle
BD=10 in

in the right triangle BCD
Applying the Pythagoras theorem

BD²=BC²+CD² --------> CD²=BD²-BC²-----> CD²=10²-6²----> CD²=66
CD=√66 in

in the right triangle ACD
AD²=AC²+CD²-----> AD²=12²+(√66)²----> AD²=144+66----> AD²=210
AD=√210 in-----> AD=14.49 in

the answer is
AD is 14.49 in