Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 266: 106a


An angle of $45^{\circ}$ is the optimal angle when $h=0$

Work Step by Step

We can find the optimal angle $\theta$ when $h=0$: $\theta = arcsin \left(\sqrt{\frac{v^2}{2v^2+64h}}\right)$ $\theta = arcsin \left(\sqrt{\frac{v^2}{2v^2+(64)(0)}}\right)$ $\theta = arcsin \left(\sqrt{\frac{v^2}{2v^2+0}}\right)$ $\theta = arcsin \left(\sqrt{\frac{1}{2}}\right)$ $\theta = arcsin \left(0.707\right)$ $\theta = 45^{\circ}$ An angle of $45^{\circ}$ is the optimal angle when $h=0$
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