Question

choose the correct ratio. triangle image: right triangle, hypotenuse 14, angle 37° at the base, adjacent side x options: tan(37)=x/14; sin(37)=x/14; sin(37)=14/x; cos(37)=x/14

Explanation:

Step1: Identify sides

In the right triangle, hypotenuse=14, adjacent side to 37°=x.

Step2: Recall cosine definition

$\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step3: Substitute values

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

Answer:

cos(37)=x/14