Question

choose the correct set - up to solve for x
cos(37)=\frac{x}{14}
sin(37)=\frac{x}{14}
sin(37)=\frac{14}{x}
tan(37)=\frac{x}{14}

Explanation:

Step1: Recall cosine definition

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

Step2: Identify sides for given angle

For the $37^{\circ}$ angle, the adjacent side is $x$ and the hypotenuse is 14. So $\cos(37)=\frac{x}{14}$.

Answer:

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