Answer:
Base of the Pennant = 330 pixels
Scale Factor =0.6
Explanation:
The base measure of the pennant on screen is 550 pixels.
The height is 275 pixels.

If Charlotte resizes the pennant, keeping the aspect ratio constant.
Height = 165 pixels
Therefore:

Therefore, the scale factor of the dilation

Base of the Pennant = 330 pixels
Scale Factor =0.6