Given the information on the picture, we can use the trigonometric function cosine on angle Q to find the length of the missing side y:
[tex]\begin{gathered} cos(49)=\frac{\text{adjacent side}}{hypotenuse}=\frac{y}{100} \\ \Rightarrow\frac{y}{100}=\cos (49) \end{gathered}[/tex]
then, solving for y, we get:
[tex]\begin{gathered} \frac{y}{100}=\cos (49) \\ \Rightarrow y=100\cdot\cos (49)=65.6 \\ y=65.6 \end{gathered}[/tex]
therefore, y = 65.6
