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lilxiong
Hey there!

As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, [tex] \frac{12}{5} [/tex].

The reason behind this is because the tangent value of an angle is always the length value opposite of given angle over the value adjacent (or right next to) the given angle.

In this case, the question is asking for Tan D. The side value opposite of angle D would be 12, and the length value that is adjacent to angle D is 5.

Therefore, the value of tan D would be [tex] \frac{12}{5} [/tex].

Hope this helps and I hope you have a marvelous day! :)

The value of tan D would be as follows:

[tex]\frac{12}{5}[/tex]

Find the value of Tan

Given that,

A right-angled triangle EFD,

As we know,

Tan = Opposite sides' length/adjacent sides' length

So,

it is  given that,

The length of the opposite side = 12

Adjacent Side's length = 5

∵ The value of Tan D [tex]= 12/5[/tex]

Thus, the above-mentioned answer is correct.

Learn more about "Trigonometry" here:

brainly.com/question/22698523