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 2.5 Further Applications of Right Triangles - 2.5 Exercises - Page 87: 27


$c \approx 600$ mile $a \approx 416$ mile $b \approx 431$ mile

Work Step by Step

1. Find the inertial angle of A by subtracting the external degrees from 180: $\angle A = 180^{\circ} -84^{\circ} - 52^{\circ} = 44^{\circ}$ 2. Find the distance of c by multiplying the speed by time $c = 250 mph \times 2.4 h = 600$ miles 3. Use sine rule to find a $\sin 44^{\circ} = \frac{a}{600}$ $a\approx 416$ miles 4. Use cosine rule to find b $\cos 44^{\circ} = \frac{b}{600}$ $b\approx 431$ miles
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