Answer
b. $\frac{\sqrt 5}{2}$
Work Step by Step
Given-
$\sin\theta$ = $\frac{\sqrt 5}{3}$
$\cos\theta$ = $\frac{2}{3}$
By ratio identity-
$\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$
Substituting the values of $\sin\theta$ and $\cos\theta$-
$\tan\theta$ = $\frac{\sqrt 5/3}{ 2/3}$ = $\frac{\sqrt 5}{2}$
