Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises - Page 683: 60


$a \approx 42$

Work Step by Step

RECALL: In a right triangle, $\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}}$ $\cos{A} = \dfrac{\text{length of adjacent side}}{\text{length of hypotenuse}}$ $\tan{A} = \dfrac{\text{length of opposite side}}{\text{length of adjacent side}}$ Use the tangent formula above to obtain: $\tan{23^o} = \frac{a}{100}$ Multiply 100 on both sides of the equation to obtain: $100 \cdot \tan{23^o} = a$ Use a scientific calculator to obtain: $100 \cdot 0.4244748162 = a \\42.44748162 = a \\42 \approx a$
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