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answer attempt 1 out of 2

Question

answer attempt 1 out of 2

Explanation:

Step1: Recall the tangent formula

$\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify the opposite and adjacent sides for angle \(T\)

For \(\angle T\), the opposite side is \(36\) and the adjacent side is \(27\)
$\tan T=\frac{36}{27}$

Step3: Simplify the fraction

$\frac{36}{27}=\frac{4}{3}$

Answer:

$\frac{4}{3}$