Answer
$y = -37.7~m$
Work Step by Step
We can find the vertical displacement $y$ at $t = 2.30~s$:
$y = v_{0y}~t+\frac{1}{2}a_y~t^2$
$y = -(15.0~m/s)~(sin~20.0^{\circ})(5.00~s)+\frac{1}{2}(-9.8~m/s^2)~(2.30~s)^2$
$y = -37.7~m$
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