In AWXY, the measure of ZY=90°, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of ZW?

Question

asked Feb 17, 2022 142k views

1 Answer

Spoonface · Answer 1 · 2022-02-23T12:58:17+0000

Given:

In
$\Delta WXY, m\angle Y=90^\circ, WY=5, XW=13$ and
YX=12 .

To find:

The ratio represents the cosine of
$\angle W$ .

Solution:

In
$\Delta WXY, m\angle Y=90^\circ$ . It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.

In a right angle triangle,

$\cos \theta =(Base)/(Hypotenuse)$

In the given triangle,

$\cos W=(WY)/(XW)$

$\cos W=(5)/(13)$

Therefore, the required cosine ratio is
.