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Question is in the picture. Please answer

You don't have to explain in full detail if you don't want I just need the answer and a short explanation

Question is in the picture Please answer You dont have to explain in full detail if you dont want I just need the answer and a short explanation class=

Respuesta :

Answer:

[tex]tan(A) = \frac{4}{3}[/tex]

Step-by-step explanation:

Here we see tan(B) has opposite side of 12 and adjacent of 9

using the formula:

[tex]tan(A) = \frac{opposite }{adjacent}[/tex]

[tex]tan(A) = \frac{12}{9}[/tex]

[tex]tan(A) = \frac{4}{3}[/tex]

Answer:

[tex]\textsf{tan(A)}=\frac{4}{3}[/tex]

Step-by-step explanation:

The trig ratio for tan is:  [tex]\textsf{tan}(x)=\mathsf{\frac{O}{A}}[/tex] where

  • [tex]x[/tex] is the angle
  • O = side OPPOSITE to the angle
  • A = side ADJACENT to the angle

For angle A:

O = 12

A = 9

[tex]\implies \textsf{tan(A)}=\frac{12}{9}\\\\\implies \textsf{tan(A)}=\frac{4}{3}[/tex]