Answer
$Range, R \approx 1223.36 \ ft$
$Height, H \approx 364.49 \ ft$
Work Step by Step
We compute the range and height using the given formulas as follows:
Plug in $50^\circ$ for $\theta$ and $200$ for $v_o$ to obtain:
$Range, R = \dfrac{v_0^2\sin{(2\theta)}}{g}=\dfrac{(200)^2\sin{(2 \times 50^\circ)}}{32.2} \approx 1223.36 \ ft$
$Height, H=\dfrac{v_0^2\sin^2{(\theta)}}{2g}=\dfrac{(200)^2\sin^2{(50^\circ)}}{2 \times
32.2} \approx 364.49 \ ft$
