Respuesta :

Answer:

Option C. [tex]tan(B)=2.29[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

The tangent of angle B is equal to the opposite side angle B divided by the adjacent side angle B

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

substitute the values

[tex]tan(B)=\frac{16}{7}=2.29[/tex]

Answer:

The correct option is:

C. 2.29

Step-by-step explanation:

We are given a figure, we have to find tanB

tanB= [tex]\dfrac{Perpendicular}{Base}[/tex]

tan(B)= [tex]\dfrac{AC}{AB}[/tex]

substituting the values of AC and AB,we get

tan(B)=[tex]\dfrac{16}{7}[/tex]=2.29

Hence,The correct option is:

C. 2.29

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