Answer:
[tex]DE=14.908402987996[/tex]
Step-by-step explanation:
Formula ………………………………………………………………………
[tex]\tan \alpha =\frac{\text{opposite} }{\text{adjacent} }[/tex]
============
[tex]\tan \left( 61\right) =\frac{FD}{24}[/tex]
[tex]\Longrightarrow FD=24\times \tan \left( 61\right)[/tex]
[tex]=43.297146126514[/tex]
[tex]\tan \left( 19\right) =\frac{DE}{DF}[/tex]
[tex]\Longrightarrow DE=DF\times \tan \left( 19\right)[/tex]
[tex]=43.297146126514\times \tan \left( 19\right)[/tex]
[tex]=14.908402987996[/tex]
