Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-6 Trigonometric Ratios - Practice and Problem-Solving Exercises - Page 650: 41


The value of n=78.4

Work Step by Step

We are given that the angle is 49$^o$ and the opposite length is 59.2 Following the Sin rule of $ \frac{opposite}{hypotenuse}$, we write our equation as $Sin(49) = 59.2/n $. We can simplify this equation by multiplying both sides of the equation by n as well as dividing both sides of the equation by Sin(49). This results in the equation $n = \frac{59.2}{sin49}$. Solving for the right side would give us the answer of 78.4.
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