Respuesta :

Answer:

x = 4.08

Step-by-step explanation:

As we now, from Trigonometric Identities

that   [tex]tan(\alpha )=\frac{Opposite}{Adjacent}[/tex]

So for our Problem , [tex]\alpha =27[/tex]  , [tex]Opposite=x[/tex]  ,  [tex]Adjacent = 8[/tex]

by substituting , then  [tex]tan(27)=\frac{x}{8}[/tex]

by multiplying both sides by 8 , then [tex]x=8tan(27)=4.0762=4.08[/tex]