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

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A21: 52

Answer

from San Juan to Hamilton $964.84\ miles$, from Hamilton to Fort Lauderdale $1027.97\ miles$.

Work Step by Step

Using proportions, we have $\frac{d_{SH}}{53.5}=\frac{d_{HF}}{57}=\frac{1046}{58}$, thus the actual distance from San Juan to Hamilton is $d_{SH}=\frac{1046}{58}(53.5)\approx964.84\ miles$, and from Hamilton to Fort Lauderdale $d_{HF}=\frac{1046}{58}(57)\approx1027.97\ miles$.
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