Respuesta :

check the picture below.
Ver imagen jdoe0001

Option C is correct.

Trigonometry

The branch of mathematics which concerned with the specific function of angles and their application.

Given

Right triangle DEF.

To find

Tangent of F.

How to Calculate tangent of F?

We know the tangent,

[tex]\rm tan \theta = \dfrac{Perpendicular}{Base}[/tex]

Perpendicular = 40

Base = 9

Then

[tex]\rm tan \theta = \dfrac{40}{9}[/tex]

Here the tangent of F is [tex]\dfrac{40}{9}[/tex].

Thus, option C is correct.

More about the trigonometry link is given below.

https://brainly.com/question/6904750