Question

Given right triangle DEF, what is the value of tan(F)?

Answer 1

Answer:
`(40)/(9)`

Explanation:

We know that for any angle x in a triangle ,

`\tan x=\frac{\text{side opposite to x}}{\text{side adjacent to x}}`

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

`\tan F=\frac{\text{side opposite to F}}{\text{side adjacent to F}}\\\\\Rightarrow\ \tan F=(40)/(9)`

Hence, the value of tan(F) =
`=(40)/(9)`

Answer 2

we know that

In the right triangle DEF

the tangent of the angle F is equal to

`tan(F)=(opposite\ side\ angle\ F)/(adjacent\ side\ angle\ F)=(DE)/(EF)`

substitute the values

`tan(F)=(40)/(9)`

therefore

the answer is the option

`(40)/(9)`