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

Question

Question

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

in progress 0

Mathematics MichaelMet 3 years 2021-08-18T23:35:25+00:00 2021-08-18T23:35:25+00:00 1 Answers 37 views 0

Answers ( )

Name*

E-Mail*

Website

Featured image

Browse

Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

Answer*

Tryphena · Answer 1 · 2021-08-18T23:37:10+00:00

Tryphena

0

2021-08-18T23:37:10+00:00 August 18, 2021 at 11:37 pm

Reply

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,

$\cos \theta =\dfrac{Base}{Hypotenuse}$

In the given triangle,

$\cos W=\dfrac{WY}{XW}$

$\cos W=\dfrac{5}{13}$

Therefore, the required cosine ratio is $\dfrac{5}{13}$ .