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The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.

The angle B has tangent, tan (B) = 2 / 3

The angle C, has tangent, tan (C) = 3 / 2

Then, the answer is option C, tan C
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Answer:

The answer is the option C

[tex]tan(C)=\frac{3}{2}[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle of the figure

[tex]tan(C)=\frac{AB}{AC}[/tex]

we have that

[tex]AB=3\ units[/tex] -----> opposite side angle C

[tex]AC=2\ units[/tex] ------> adjacent side angle C

substitute

[tex]tan(C)=\frac{3}{2}[/tex]

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