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

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.2 Trigonometric Functions: Unit Circle Approach - 5.2 Assess Your Understanding - Page 404: 123


$Range, R \approx 19541.95 \ m $ $Height, H \approx 2278.14 \ m $

Work Step by Step

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 $
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