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 $21$ and the hypotenuse is $35$.

Step2: Simplify the fraction

We have $\cos W=\frac{21}{35}$. Divide both the numerator and the denominator by their greatest common divisor, which is 7. So, $\frac{21\div7}{35\div7}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$