Question

In triangle WXY, the measure of angle Y=90 degrees, XW=89, WY=80, and YX=39. What ratio represents the cosine of angle X?

Answer 1

Answer:
`(39)/(89)`

Explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A
`=\frac{\text{side adjacent to A}}{\text{hypotenuse}}`

From the figure below,

`\text{cosine of } \angle X=(YX)/(WX)\\\\=(39)/(89)`

Hence, required ratio =
`(39)/(89)`