Question

identifying trig ratios (no diagram)
question
in δjkl, the measure of ∠l = 90°, kj = 17,
lk = 8, and jl = 15. what ratio represents
the tangent of ∠j?
answer
attempt 1 out of 3

Explanation:

Step1: Recall the definition of tangent

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

Step2: Identify the opposite and adjacent sides for $\angle J$

For $\angle J$ in $\triangle JKL$ with $\angle L = 90^{\circ}$, the side opposite to $\angle J$ is $LK = 8$, and the side adjacent to $\angle J$ is $JL=15$.

Answer:

$\frac{8}{15}$