Answer:
18.0
Step-by-step explanation:
[tex] In\: \odot P, [/tex] TS is tangent to the circle at point S and PS is radius.
[tex] \therefore PS \perp TS[/tex]
(tangent radius theorem)
[tex] \therefore m\angle PST = 90\degree [/tex]
Since, side opposite to 90° angle is called hypotenuse.
So, x represents the length of hypotenuse of [tex] \triangle WYZ[/tex]
Thus, by Pythagoras Theorem
[tex]x = \sqrt{ {15}^{2} + {10}^{2} } \\ \\ = \sqrt{225 + 100} \\ \\ = \sqrt{325} \\ \\ = 18.0277564\\\\ = 18.0[/tex]
