Respuesta :

calculista

we know that

In the right triangle DEF

the tangent of the angle F is equal to

[tex]tan(F)=\frac{opposite\ side\ angle\ F}{adjacent\ side\ angle\ F}=\frac{DE}{EF}[/tex]

substitute the values

[tex]tan(F)=\frac{40}{9}[/tex]

therefore

the answer is the option

[tex]\frac{40}{9}[/tex]

JeanaShupp

Answer: [tex]\frac{40}{9}[/tex]

Step-by-step explanation:

We know that for any angle x in a triangle ,

[tex]\tan x=\frac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]

Now, for the given triangle DEF, the value of tan(F) is given by :-

[tex]\tan F=\frac{\text{side opposite to F}}{\text{side adjacent to F}}\\\\\Rightarrow\ \tan F=\frac{40}{9}[/tex]

Hence, the value of tan(F) = [tex]=\frac{40}{9}[/tex]

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