With the height of the rectangular box, the baton can fit diagonally in the box.
The length of the baton that Kylie needs to pack = 38 inches
The width of the rectangular box = 13 inches
The length of the rectangular box = 35 inches
The height of the rectangular box = 13 inches
Comparing the dimensions:
The baton is 38 inches long and longer than the length and width of the box.
The height of the box is 13 inches, making the box greater than the length of the baton diagonally.
Thus, the baton will fit in the box diagonally.