<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def distance_to(self, other):
 """Euclidean distance between two coordinates."""


        other_coord = self._arith_check(other)
        return math.sqrt(math.pow(self._x - other_coord._x, 2) +
                         math.pow(self._y - other_coord._y, 2))