which equation can be used to find the measure of angle ljk?\n○ sin(x) = 10/15\n○ sin(x) = 15/10\n○ cos(x) =…

which equation can be used to find the measure of angle ljk?\n○ sin(x) = 10/15\n○ sin(x) = 15/10\n○ cos(x) = 10/15\n○ cos(x) = 15/10

which equation can be used to find the measure of angle ljk?\n○ sin(x) = 10/15\n○ sin(x) = 15/10\n○ cos(x) = 10/15\n○ cos(x) = 15/10

Answer

Explanation:

Step1: Recall trigonometric - ratio definitions

In a right - triangle, $\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$ and $\cos(x)=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle LJK = x$, the side opposite to $\angle x$ is $LK = 10$ m and the hypotenuse is $KJ=15$ m.

Step2: Determine the sine formula for $\angle x$

Using the sine formula $\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$, we substitute the values of the opposite side and the hypotenuse. So, $\sin(x)=\frac{10}{15}$.

Answer:

$\sin(x)=\frac{10}{15}$ (first option)