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: 73b

Answer

194 ft

Work Step by Step

1. $V_1 = 55mile/h \times \frac{1h}{3600s} \times\frac{5280ft}{1 mile} = 80.67 ft/s$ 2. $V_2 = 30mile/h \times \frac{1h}{3600s} \times\frac{5280ft}{1 mile} = 44 ft/s$ 3. $\theta = (-2)^{\circ}$ $K_1 = 0.4$ and $K_2 = 0.02$ $D=\frac{1.05\times((V_1)^2 - (V_2)^2)}{64.4 \times(K_1 +K_2 + \sin\theta)} = \frac{1.05\times((80.67)^2 - (44)^2)}{64.4 \times(0.4 + 0.02+ \sin (-2^{\circ}))} = 194ft$
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