Answer
Yes.
Work Step by Step
The standard form of the equation of a circle with a center in the origin and radius $r$ is: $x^2+y^2=r^2$. (Consider the tower as the origin)
Plugging in the values we get: $x^2+y^2=9^2+11^2=81+121=202\lt225=15^2=r^2$.
Thus we are within the region.