Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 304: 17

Answer

We can not construct a triangle with the values given in this question.

Work Step by Step

We can use the law of sines to find the angle $A$: $\frac{b}{sin~B} = \frac{a}{sin~A}$ $sin~A = \frac{a~sin~B}{b}$ $sin~A = \frac{(859~m)~sin~(74.3^{\circ})}{783~m}$ $sin~A = 1.056$ Since there is no angle A such that $sin~A \gt 1$, the angle A is not defined. We can not construct a triangle with the values given in this question.
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