Given:
Angle R=63 degree.
Side RS=44
The objective is to find the length of the side QR.
Since, the given triangle is a right angled triangle, consider QR as hypotenuse and RS as adjacent side with respect to angle R.
Then, the hypotenuse can be calculated using cos formula.
[tex]\begin{gathered} \cos \theta=\frac{adjacent}{hypotenuse} \\ \cos 63^0=\frac{44}{QR} \\ 0.45=\frac{44}{QR} \\ QR=\frac{44}{0.45} \\ QR=97.78 \end{gathered}[/tex]
Hence, the length of the side QR is 97.78.
