Answer
sin(a) = $\frac{\sqrt 5}{3}$
sin(b) = $\frac{2}{3}$
Work Step by Step
The opposite side of angle a is $\sqrt 5$ and hypotenuse is 3. Therefore sin(a) = $\frac{\sqrt 5}{3}$
The opposite side of angle b is unknown and hypotenuse is 3.
To find the unknown opposite side, use Pythagorus theorem.
$3^{2}$ - $\sqrt 5^{2}$ = $x^{2}$
9 - 5 = $x^{2}$
$x^{2}$ = 4
x = 2
So sin(b) = $\frac{2}{3}$
