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: 73c

Answer

Let's assume that the car is traveling uphill. As $\theta$ increases, the distance $D$ decreases. This agrees with our driving experience. The required distance to slow down on a steep hill is less than the required distance to slow down on a gentle hill.

Work Step by Step

$D = \frac{1.05~(V_1^2-V_2^2)}{64.4~(K_1+K_2+sin~\theta)}$ Let's assume that $\theta \gt 0$ which means that the car is traveling uphill. As $\theta$ increases, $sin~\theta$ also increases. Then the denominator increases, and it follows that the distance $D$ decreases. This agrees with our driving experience. Let's suppose we want to slow down while going up a hill. If we are braking while going up a hill, the required distance to slow down on a steep hill is less than the required distance to slow down on a gentle hill.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.