Question

question 10 (5 points) which of the following is a correct cosine ratio for the figure? a) c = 5/12 b) c = 5/13 c) c = 13/12 d) c = 12/13

Explanation:

Step1: Recall cosine ratio formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $C$, the adjacent side to angle $C$ is $AC = 12$ and the hypotenuse is $BC=13$.

Step2: Calculate cosine of angle $C$

$\cos C=\frac{AC}{BC}=\frac{12}{13}$.

Answer:

D. $C = 12/13$