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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]