Question

Help please help with this question

Answer 1

First you have to do puthagorean theorm to find the missing leg which is QR then to find sinS you go opposite over hypotenuse. simplify if needed.

Answer 2

Sine is opposite/hypotenuse. Opposite of angle S is line QR, which is unknown. Therefore start with the Pythagorean Theorem to find QR. For simplicity, I'll use x as a variable for QR.
 
$x^{2}$+60²=68²
$x^{2}$=68²-60²
$x^{2}$=4264-3600
$x^{2}$=1024
x=$\sqrt{1024}$
x=32

So QR is 32. Therefore, sin S is 32/68, which simplifies to 8/17.