Question

For questions 6 – 10, find the unknown side length. number 8

Answer 1

8) Notice that we are dealingwith a right triangle; therefore, we can use the trigonometric identity shwn below

`\begin{gathered} cos\theta=(A)/(H) \\ \theta\rightarrow\text{ interior angle} \\ A\rightarrow\text{ adjacent side to}\theta \\ H\rightarrow\text{ hypotenuse} \end{gathered}`

Therefore, in our case,

`\begin{gathered} \Rightarrow cos(45\degree)=(s)/(8√(2)) \\ \Rightarrow s=8√(2)cos(45\degree) \\ \Rightarrow s=8√(2)((√(2))/(2))=8*(2)/(2)=8 \\ \Rightarrow s=8 \end{gathered}`

Thus, the answer to question 8) is s=8