Question

which equation can be used to find the measure of angle ljk?\
\\(\sin(x) = \frac{10}{15}\\)\
\\(\sin(x) = \frac{15}{10}\\)\
\\(\cos(x) = \frac{10}{15}\\)\
\\(\cos(x) = \frac{15}{10}\\)

Explanation:

Step1: Identify sides for angle $x$

For $\angle J$ (angle $x$), hypotenuse $JK=15$ in, opposite side $LK=10$ in, adjacent side $JL=10$ in.

Step2: Apply sine definition

Sine of angle = $\frac{\text{opposite}}{\text{hypotenuse}}$
$\sin(x) = \frac{10}{15}$

Answer:

$\boldsymbol{\sin(x) = \frac{10}{15}}$ (corresponding to the first option)