Question

choose the correct ratio.
sin(33)=x/14
sin(33)=14/x
cos(33)=x/14
cos(33)=14/x

Explanation:

Step1: Recall the sine formula

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify sides

In the right - triangle, $\theta = 33^{\circ}$, the side opposite to the $33^{\circ}$ angle is $x$, and the hypotenuse is $14$.

Step3: Apply the formula

Substituting into the sine formula: $\sin(33)=\frac{x}{14}$

Answer:

$\sin(33)=\frac{x}{14}$