Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 66: 67c


644 ft and 1559ft

Work Step by Step

$R=\frac{v^{2}}{g(f + tan\theta)}$ A larger value of $\theta$ will lead to larger value of $\tan\theta$. As $\tan\theta$ increases, then the ratio R will decrease. Thus radius can be smaller anf curve sharper if $\theta$ will increase $R_1 =\frac{66^{2}}{32.2(0.14 + tan 4^{\circ})} = 644ft$ $\lt703ft$ $R_2 =\frac{102.67^{2}}{32.2(0.14 + tan 4^{\circ})} = 1559ft$ $\lt1701ft$
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