Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ WU^2=UV^2+WV^2\implies \sqrt{WU^2-UV^2}=WV \\\\\\ \sqrt{41^2-40^2}=WV\implies 9=WV[/tex]
Check the picture below.
The value of tan W rounded to the nearest hundredth, in the right angle triangle UVW is 4.55.
What is Pythagoras theorem?
Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.
The opposite side is the 40 units, while the hypotenuse side is 41 units long in the right angle triangle. Thus, the value of base side W is,
[tex](VW)^2+(40)^2=(41)^2\\(VW)=\sqrt{(41)^2-(40)^2}\\VW=9\rm\; units[/tex]
In the right angle triangle, the value of tan W is the ratio of side VW and UV. Thus,
[tex]\tan W=\dfrac{UV}{VW}\\\tan W=\dfrac{41}{9}\\\tan W=4.55[/tex]
Thus, the value of tan W rounded to the nearest hundredth, in the right angle triangle UVW is 4.55.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ2
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.