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: 45

Answer

Auto A: 68.94 mph Auto B: 65.78 mph

Work Step by Step

To find the radar speed reading we multiply the actual speed and the $\cos$ of the angle. Auto A Actual Speed: 70 mph Angle: 10$^{\circ}$ Radar Reading = $R$$_{a}$ Therefore: $R$$_{a}$ = 70 $\cos$ 10$^{\circ}$ $R$$_{a}$ = 68.94 mph Auto B Actual Speed: 70 mph Angle: 20$^{\circ}$ Radar Reading = $R$$_{b}$ Therefore: $R$$_{b}$ = 70 $\cos$ 20$^{\circ}$ $R$$_{b}$ = 65.78 mph
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