Yes If you add an optional Poly Base it will increase the overall height of your lighthouse.  Below is a size chart to help.  So for example if you order a 5′ Lighthouse and then get the optional base the lighthouse will now be 5′ 10″.

Lighthouse Size
Diameter
Height
2′
13″
4.5″
3′
18″
6″
4′
22″
8″
5′
24″
10″
6′
27″
12″
8′
36″
18″
12′
51″
24″