Question

20/31 choose the correct ratio. sin(33)=x/14 cos(33)=14/x cos(33)=x/14 sin(33)=14/x

Explanation:

Step1: Recall sine - cosine definitions

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$ and $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. The angle $\theta = 33^{\circ}$, the side opposite to the $33^{\circ}$ angle is $x$ and the hypotenuse is $14$.

Step2: Apply the sine formula

Using the formula $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, when $\theta = 33^{\circ}$, $\text{opposite}=x$ and $\text{hypotenuse}=14$, we get $\sin(33^{\circ})=\frac{x}{14}$.

Answer:

A. $\sin(33)=x/14$