Question

in \\( \triangle ijk \\), the measure of \\( \angle k = 90 ^ { \circ }, ik = 45, kj = 28 \\), and \\( ji = 53 \\). what ratio represents the cosine of \\( \angle j \\)?

Explanation:

Step1: Recall the cosine definition

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)

Step2: Identify adjacent side and hypotenuse for \(\angle J\)

For \(\angle J\), the adjacent side is \(KJ = 28\), and the hypotenuse is \(JI=53\)

Answer:

\(\frac{28}{53}\)