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: 40


The answer is m=4.5.

Work Step by Step

We are given the angle = 53$^o$ and the value of the hypotenuse, which is 5.65. Using the Sin rule of $ \frac{Opposite}{Hypotenuse}$, we can set up our equation. $Sin53 = \frac{m}{5.65}$. We simplify for m by multiplying both sides by 5.65. This new equation is $sin53 * 5.65 = m$. This simplifies to $0.798 * 5.65$ (0.798 being the value of sin53). Once multiplied, the end result is $m=4.5$.
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