Answer
$\theta = sin^{-1}(2(\frac{gh}{v_0^2}+1))^{-.5}$
Work Step by Step
We know the following equation for the range:
$sin\theta = (2(\frac{gh}{v_0^2}+1))^{-.5}$
$\theta = sin^{-1}(2(\frac{gh}{v_0^2}+1))^{-.5}$
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