Question

17/20
choose the correct ratio.
sin(37)=14/x
sin(37)=x/14

tan(37)=x/14
cos(37)=x/14

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify sides

For the given right - triangle with angle $37^{\circ}$, the adjacent side to the $37^{\circ}$ angle is $x$ and the hypotenuse is $14$.

Step3: Apply cosine ratio

Using the formula $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, we get $\cos(37)=\frac{x}{14}$.

Answer:

$\cos(37)=\frac{x}{14}$