Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 60: 78c

Answer

As the angle $\alpha$ of the headlight alignment increases, the value of $L$ decreases.

Work Step by Step

$L = \frac{(\theta_2-\theta_1)~S^2}{200~(h+S~tan~\alpha)}$ The angle $\alpha$ is the angle of the headlight alignment above the horizontal. As the angle $\alpha$ increases, the value of $tan ~\alpha$ increases. As the denominator increases, the value of $L$ decreases. As the angle $\alpha$ of the headlight alignment increases, the value of $L$ decreases.
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