Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.2 Trigonometric Functions: Unit Circle Approach - 6.2 Assess Your Understanding - Page 381: 124


$R=1223.36$ feet. $H=364.49$ feet.

Work Step by Step

$R=\frac{v_0^2\sin{(2\theta)}}{g}=\frac{200^2\sin{(2\cdot50^\circ)}}{32.2}=\frac{40000\cdot0.985}{32.2}\approx1223.36$ feet. $H=\frac{v_0^2\sin^2{(\theta)}}{2g}=\frac{200^2\sin^2{(50^\circ)}}{2\cdot32.2}=\frac{40000\cdot(0.766)^2}{2\cdot32.2}\approx364.49$ feet.
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