Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 7 - Applications of Trigonometric Functions - Section 7.1 Right Triangle Trigonometry ; Applications - 7.1 Assess Your Understanding - Page 539: 1

Answer

$4$ units

Work Step by Step

For a right triangle, we can apply the Pythagorean theorem, that states: $c^2=a^2+b^2$, where $c$ is the length of the hypotenuse; $a$ and $b$ are the lengths of the legs, Here, by substituting in the values given: $5^2=3^2+b^2$ $b^2=25-9=16$ $b=\pm4$ Since a length cannot be negative, then $b=4$.
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