Question

Question50 in.eThe figure above shows a right triangle with dimensions in inches. If O = 48°, what is the length of y to the nearest inch?

Answer 1

Remember the definition of the sine trigonometric relation in a right triangle:

`\sin \theta=\frac{\text{Side opposite to }\theta\text{ }}{\text{Hypotenuse}}`

In this case, we have:

`\sin (48º)=(y)/(50in)`

Isolate y and use a calculator to find its numerical value to the nearest inch:

`\begin{gathered} y=(50in)*\sin (48º) \\ =37.15724127\ldots in \\ \approx37in \end{gathered}`

Therefore, the length of y to the nearest inch, is 37.