Answer
$0.95^{\circ}$ and $89.05^{\circ}$
Work Step by Step
Step 1. We are given $v_0=2200 ft/s, R=5000ft$
Step 2. Plug-in the above numbers into the equation $5000=\frac{2200^2sin2\theta}{32}$ which gives
$sin2\theta=0.03306$
Step 3. Bear in mind that $0\leq\theta\leq\frac{\pi}{2}$ which means that $0\leq2\theta\leq\pi$, we get from Step 2
that $2\theta=sin^{-1}0.03306=1.8944,178.106$ or $\theta=0.95^{\circ}$ and $89.05^{\circ}$
