Geometry

sin (S) = opposite / hypotenuse

sin (S) = QR / 68

 

To find the length of QR, we can use the Pythagorean theorem.

QR² + 60² = 68²

QR² = 68² - 60²

QR = \(\sqrt{68^2-60^2}=\sqrt{4624-3600}=\sqrt{1024}=32\)

 

So..

sin (S) = \(\frac{32}{68}=\frac{8}{17}\)     :)