Question

What is sin θ of the angle in standard position whose terminal side passes through (16,63)

Answer 1

Check picture below
use the pythagorean theorem to get the hypotenuse, then get the sine of it

$\bf \textit{pythagorean theorem} \\\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite \end{cases}$