Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 637: 7

Answer

$ b=39.95;A=37.3^{\circ}; B=52.7^{\circ}$

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ $\sin A=\dfrac{30.4}{50.2}=0.6056$ $\implies A=37.3^{\circ}$ So, $ B=90^{\circ}- 37.3^{\circ}=52.7^{\circ}$ Thus, $ b=39.95;A=37.3^{\circ}; B=52.7^{\circ}$
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