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Answer: 2.4

Since, we are given a right triangle, you can use the trigonometric ratios.

The tangent is defined as: tan(Θ) = opposite-leg / adjacent-leg

opposite-leg = segment AB = 12

adjacent-leg = segment AC = 5

tan (Θ) = 12 / 5 or 2.4

The tangent ratio of angle Θ is [tex]\frac{12}{5}[/tex].

How to find the tangent ratio of angle Θ?

The tangent ratio of a triangle exists as the proportion of the side opposite of an angle to the side adjacent to the angle which exists not the hypotenuse. The hypotenuse will ever be the side of a right angle that is exists across from the right angle.

TanΘ = [tex]\frac{Opposite side}{adjacent side}[/tex]

TanΘ = [tex]\frac{AB}{AC}[/tex]

TanΘ = [tex]\frac{12}{5}[/tex]

To learn more about tangent ratio, refer :

https://brainly.com/question/2005312

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