The figure ABCDEF represents a roof of a house. Given dimensions: AB = DC = 12 m, BC = AD = 6 m, AE = BF = CF = DE = 5 m, EF = 8 m. a) Calculate, correct to 2 decimal places, the perpendicular distanc

13. The figure ABCDEF represents a roof of a house.
Given dimensions:
AB = DC = 12 m
BC = AD = 6 m
AE = BF = CF = DE = 5 m
EF = 8 m

a) Calculate, correct to 2 decimal places, the perpendicular distance of EF from the plane ABCD.
Let the plane ABCD be the $xy$-plane. Let A be at the origin $(0,0,0)$.
Then B is $(12,0,0)$, C is $(12,6,0)$, and D is $(0,6,0)$.
Let $h$ be the perpendicular