Answer:
15.5 in
Step-by-step explanation:
Use property of secant and tangent segments in the circle:
If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.
In your case,
Tanget - x in
External secant - 10 in
Total secant - 10+14 in
So,
[tex]x^2=10\cdot (10+14)\\ \\x^2 =10\cdot 24\\ \\x^2 =240\\ \\x\approx 15.5\ in[/tex]
