Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.2 - Trigonometry of Right Triangles - 6.2 Exercises - Page 487: 15

Answer

x = 12.5

Work Step by Step

When looking at this problem, I first looked at what was given. The problem gives the angle 30, the variable, x, for the side opposite the angle, and how long the hypotenuse is. Given this, using sin would help us solve the problem, this is how I set up the problem sin(x) is opposite / hypotenuse sin(30) = $\frac{x}{25}$ x = 25* sin(30) x = 12.5
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