Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Review Exercises - Page 406: 79a

Answer

$x = 105.14~t$ $y = 53.57~t-16~t^2+3.2$

Work Step by Step

$v = 118~ft/s$ $\theta = 27^{\circ}$ $h = 3.2$ We can find an expression for $x$ in terms of $t$: $x = (v~cos~\theta)(t)$ $x = (118~cos~27^{\circ})(t)$ $x = 105.14~t$ We can find an expression for $y$ in terms of $t$: $y = (v~sin~\theta)(t)-16~t^2+h$ $y = (118~sin~27^{\circ})(t)-16~t^2+3.2$ $y = 53.57~t-16~t^2+3.2$
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