Question

what is the cosine ratio of ∠z?
x 16 y
12
20
z
20/12
12/16
12/20
16/20

Explanation:

Step1: Recall cosine - ratio formula

The cosine of an angle in a right - triangle is defined as $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle Z$, the adjacent side to $\angle Z$ is $YZ = 12$ and the hypotenuse is $XZ=20$.

Step2: Calculate the cosine ratio

$\cos Z=\frac{YZ}{XZ}=\frac{12}{20}$.

Answer:

C. $\frac{12}{20}$