Answer:
The correct option is c.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR is a right angle triangle.
In a right angle triangle,
[tex]\sin\theta=\frac{perpendicular}{hypotenuse}[/tex]
In triangle PQR,
[tex]\sin R=\frac{PQ}{QR}[/tex]
[tex]\sin R=\frac{37}{58}[/tex]
[tex]R=\sin^{-1}(\frac{37}{58})[/tex]
[tex]R=39.6377144^{\circ}[/tex]
[tex]R\approx 39.6^{\circ}[/tex]
Therefore option c is correct.
