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Answer :

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