Question

Find the unknown side length y to the nearest tenth.65.6152.4115115.3Submit

Answer 1

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:

`\begin{gathered} cos(49)=\frac{\text{adjacent side}}{hypotenuse}=(y)/(100) \\ \Rightarrow(y)/(100)=\cos (49) \end{gathered}`

then, solving for y, we get:

`\begin{gathered} (y)/(100)=\cos (49) \\ \Rightarrow y=100\cdot\cos (49)=65.6 \\ y=65.6 \end{gathered}`

therefore, y = 65.6