Answer
$Range, R \approx 310.56 \ ft$
$height \approx 77.64 \ ft$
Work Step by Step
We calculate the range and height using the appropriate formulas:
$Range, R=\dfrac{v_0^2\sin{(2\theta)}}{g}=\dfrac{(100)^2 \times \sin{[2 (45^\circ)}]}{32.2} \approx 310.56 \ ft$
$height=\dfrac{v_0^2\sin^2{(\theta)}}{2g}=\dfrac{(100) ^2\sin^2{(45^\circ)}}{2\cdot32.2}=\dfrac{(10)^4 \times ({\dfrac{1}{\sqrt2})^2}}{2\cdot 32.2} \approx 77.64 \ ft$
