Question

find the tangent of ∠i.
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan (i) =

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $\angle I$

For $\angle I$, opposite side is $JK = 80$, adjacent side is $IK = 39$.

Step3: Calculate $\tan(I)$

$\tan(I) = \frac{JK}{IK} = \frac{80}{39}$

Answer:

$\frac{80}{39}$