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By applying the Tan trigonometric formula, the value of the tangent for angle A is equal to: A. 3√91/91.

How to find the value of the tangent for <A?

In order to determine the value of the tangent for <A, we would apply Pythagorean theorem:

AB² = AC² + BC²

40² = AC² + 12²

AC² = 1600 - 144

AC = √1456

AC = 4√91 in.

Now, we can determine the value of the tangent for <A by applying the Tan trigonometric formula:

TanA = Opp/Adj

TanA = BC/AC

TanA = 12/4√91

TanA = 3√91/91.

Read more on trigonometry functions here: https://brainly.com/question/4515552

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