Remember the definition of the sine trigonometric relation in a right triangle:
[tex]\sin \theta=\frac{\text{Side opposite to }\theta\text{ }}{\text{Hypotenuse}}[/tex]
In this case, we have:
[tex]\sin (48º)=\frac{y}{50in}[/tex]
Isolate y and use a calculator to find its numerical value to the nearest inch:
[tex]\begin{gathered} y=(50in)\times\sin (48º) \\ =37.15724127\ldots in \\ \approx37in \end{gathered}[/tex]
Therefore, the length of y to the nearest inch, is 37.
