Answer:
8 in.
Step-by-step explanation:
The ratio of the surface areas is equal to the square of the ratio of the heights
Let h = the height of the smaller dodecagonal pyramid
So, [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]
[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]
[tex]h^{2} = 64[/tex]
h = 8 in.
