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Verified Answer :

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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

\(tan(C)=\frac{3}{2}\)

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle of the figure

\(tan(C)=\frac{AB}{AC}\)

we have that

\(AB=3\ units\) -----> opposite side angle C

\(AC=2\ units\) ------> adjacent side angle C

substitute

\(tan(C)=\frac{3}{2}\)

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