Respuesta :

right triangle
10^2 - 8^2 = 100 - 64 = 36
DF = √36
DF = 6
so
sinE = Opp / Hypo
sinE = 6/10
sinE = 3/5

Answer:

Step-by-step explanation:

From the given triangle DEF, we have

[tex](EF)^{2}=(ED)^{2}+(DF)^{2}[/tex]

[tex](10)^{2}=(8)^{2}+(DF)^{2}[/tex]

[tex]100-64=(DF)^2[/tex]

[tex]DF=6[/tex]

Now, we know that SinE=[tex]\frac{Perpendicular}{Hypotenuse}[/tex], thus

[tex]SinE=\frac{DF}{EF}[/tex]

[tex]SinE=\frac{6}{10}=\frac{3}{5}[/tex]

Therefore, the value of SinE is [tex]\frac{3}{5}[/tex].