Question

In JKL, the measure of L=90 degrees, KJ=41, JL=40, and LK=9. What ratio represents the cosine of J ?

Answer 1

Given:

`\begin{gathered} \angle L=90^(\circ) \\ KJ=41 \\ JL=40 \\ LK=9 \end{gathered}`

To find the cosine of angle J

By using cosine ratio,

`\begin{gathered} \cos J=\frac{adjecent\text{ side}}{\text{hypotenuse}} \\ \cos J=(JL)/(JK) \\ \cos J=(40)/(41) \end{gathered}`

The ratio of cosine of angle J is 40/41.