Question

angle trigonometry
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{15}{10}
cos(x)=\frac{10}{15}

Explanation:

Step1: Recall sine - cosine definitions

In a right - triangle, for an acute angle $\theta$, $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$ and $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify sides for angle $LJK$

For angle $x = \angle LJK$, the side opposite to it is $LK = 10$ inches and the hypotenuse is $KJ=15$ inches.

Step3: Determine the correct trigonometric equation

Using the sine definition $\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$, we have $\sin(x)=\frac{10}{15}$.

Answer:

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