Question

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

Answer 1

Given:

`\angle\text{L}=90^\circ`

`\text{KJ}=41`

`\text{JL}=40`

`\text{LK}=9`

To find the cosine of angle J

By using cosine ratio,

`\text{cos J}=\frac{\text{adjacent side}}{\text{hypotenuse}}`

`\text{cos J}=\frac{\text{JL}}{\text{JK}}`

`\text{cos J}=\frac{\text{40}}{\text{41}}`

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