Answered

IDNLearn.com: Your destination for reliable and timely answers to any question. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

please help. determine the value of cos(z). WX=6, XY=8, WY=10

Please Help Determine The Value Of Cosz WX6 XY8 WY10 class=

Sagot :

The value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the base side is equal the tangent angle made opposite to the opposite side.

[tex]\tan \theta =\dfrac{b}{a}[/tex]

Here, (b) is the opposite side, (a) is the base side.

The two similar right angle triangle are shown in the image in which  WX=6, XY=8, WY=10.

For the similar triangle, the ratio of two sides of a triangle is equal to the ratio of corresponding sides of the other triangle. Thus,

[tex]\dfrac{YZ}{WY}=\dfrac{XY}{WX}\\\dfrac{YZ}{10}=\dfrac{8}{6}\\YZ=\dfrac{8}{6}\times10\\YZ=13.33[/tex]

By the right angle property,

[tex]\tan Z=\dfrac{WY}{YZ}\\Z=\tan^{-1}( \dfrac{10}{13.33})\\Z=36.9^o[/tex]

The value of cos(Z) is,

[tex]\cos Z=\cos 36.9\\\cos Z=0.8[/tex]

Thus, the value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.