Respuesta :

Answer:

The Value of tan x is the option E.

[tex]\tan x=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Given:

[tex]\textrm{Opposite side to angle x}= 8[/tex]

[tex]\textrm{Adjacent side to angle x}= 6[/tex]

To Find:

[tex]\\tan x=?[/tex]

Solution:

In a Right Triangle Tangent Identity is

[tex]\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}[/tex]

Substituting the values we get

[tex]\tan x= \dfrac{8}{6}=\dfrac{4}{3}[/tex]

The Value of tan x is the option E.

[tex]\tan x=\dfrac{4}{3}[/tex]