Trigonometry (11th Edition) Clone

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 70: 87

Answer

If the grade $\theta$ is negative then a greater distance is required to slow down. If the grade $\theta$ is positive, then a lesser distance is needed.

Work Step by Step

Comparing the data from Exercises 85 and 86, we get that with the negative grade $\theta=-2^{\circ}$ the braking distance was $194ft$. Meanwhile with the positive grade $\theta=3.5^{\circ}$ the braking distance was of $155ft$. Since $194>155$ then the breaking distance for slowing down must be greater with negative grade values.
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