Question

in $\triangle jkl$, the measure of $\angle l = 90^\circ$, $kj = 17$, $lk = 8$, and $jl = 15$. what ratio represents the tangent of $\angle j$? answer attempt 1 out of 5

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle J$

In $\triangle JKL$ (right-angled at $L$), opposite side to $\angle J$ is $LK=8$, adjacent side is $JL=15$.

Step3: Compute tangent ratio

$\tan(\angle J) = \frac{\text{opposite}}{\text{adjacent}} = \frac{LK}{JL}$

Answer:

$\frac{8}{15}$