Question

express cos w as a fraction in simplest terms.

Explanation:

Step1: Recall cosine ratio definition

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle W$, the adjacent side to $\angle W$ is $WX$ and the hypotenuse is $WY$.

Step2: Identify side lengths

The length of the adjacent side $WX$ is $18$, and the length of the hypotenuse $WY$ is $30$.

Step3: Calculate cosine value

$\cos W=\frac{WX}{WY}=\frac{18}{30}$.

Step4: Simplify the fraction

$\frac{18\div6}{30\div6}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$