which equation can be used to find the measure of angle ljk?\no sin(x) = 10/15\no sin(x) = 15/10\no cos(x) =…

which equation can be used to find the measure of angle ljk?\no sin(x) = 10/15\no sin(x) = 15/10\no cos(x) = 10/15\no cos(x) = 15/10

which equation can be used to find the measure of angle ljk?\no sin(x) = 10/15\no sin(x) = 15/10\no cos(x) = 10/15\no cos(x) = 15/10

Answer

Explanation:

Step1: Recall trigonometric - ratio definitions

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

Step2: Determine the correct trigonometric ratio

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

Answer:

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