Step-by-step explanation:
from the picture we got angle HFG is 45 degree.
let x is the length of HF
we got sin45=sqrt(8)/x
1/sqrt(2)=sqrt8/x
x=sqrt16
x=4
note that x is the length of HF
let y is the length of HE
use pythagorean theory
3^2+4^2=y^2
9+16=y^2
25=y^2
5=y
so tanE is x/y
tanE=4/5
