Answer
$θ=\frac{\pi}{12}=15°$
Work Step by Step
$r=\frac{1}{32}v_0^2~sin~2θ$
$v_0=80~ft/s$ and $r=100~ft$
$100=\frac{1}{32}(80)^2~sin~2θ$
$100=200~sin~2θ$
$\frac{1}{2}=sin~2θ$
$2θ=\frac{\pi}{6}=30°$
$θ=\frac{\pi}{12}=15°$
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