## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$Range, R \approx 19541.95 \ m$ $Height, H \approx 2278.14 \ m$
We compute the range and height using the given formulas as follows: Plug in $30^\circ$ for $\theta$ and $500$ for $v_o$ to obtain: $Range, R =\dfrac{v_0^2 \sin{(2\theta)}}{g}=\dfrac{(500)^2\sin{(2 \times 25^\circ)}}{9.8} \approx 19541.95 \ m$ $Height, H =\dfrac{v_0^2\sin^2{(\theta)}}{2g}=\dfrac{(500)^2\sin^2{(25^\circ)}}{2 \times 9.8} \approx 2278.14 \ m$