Question

In AWXY, the measure of ZY=90°, XW = 5, YX = 4, and WY = 3. What ratio
represents the cotangent of ZX?
X
5
4.
Y
W
3

Answer 1

Given:

In Δ$WXY,m < Y=90^o,WY=3,XW=5$ and $YX=4$.

To find:

The ratio represents the cosine of ∠$W$.

Solution:

In Δ$WXY,m < Y=90^o$. It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.

In a right angle triangle,

$cos0=\frac{Base}{Hypotenuse}$

In the given triangle,

$cosW=\frac{XY}{YW}$

$cosW=\frac{3}{5}$

Therefore, the required cosine ratio is $\frac{3}{5}$.