Question

which ratio represents the cosine of the marked angle in the diagram?
a. $\frac{8}{15}$
b. $\frac{15}{17}$
c. $\frac{8}{17}$
d. $\frac{15}{8}$

Explanation:

Step1: Recall cosine definition

For a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for marked angle

Adjacent side = $8$ m, Hypotenuse = $17$ m

Step3: Calculate cosine ratio

$\cos(\theta) = \frac{8}{17}$

Answer:

C. $\frac{8}{17}$