Question

which is the cosine ratio of \\( \angle a \\)?

a. \\( \frac { 195 } { 197 } \\)
b. \\( \frac { 28 } { 197 } \\)
c. \\( \frac { 28 } { 195 } \\)
d. \\( \frac { 195 } { 28 } \\)

Explanation:

Step1: Recall the cosine ratio formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For \(\angle A\), the adjacent side to \(\angle A\) is \(AC = 28\), and the hypotenuse is \(AB=197\).

Step2: Apply the formula

\(\cos A=\frac{AC}{AB}\)

Answer:

B. \(\frac{28}{197}\)