Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.1 - Properties of Radicals - Monitoring Progress - Page 483: 21

Answer

$\frac{\sqrt {210}}{2}\approx 7.25$ miles.

Work Step by Step

$d=\sqrt{\frac{3h}{2}}$ where $d$ is in miles and $h$ in feets. Given that $h=35\text{ ft}$ $\implies d=\sqrt {\frac{3(35)}{2}}=\frac{\sqrt {105}}{\sqrt {2}}$ (we have used the quotient property of square roots). $d=\frac{\sqrt {105}}{\sqrt {2}}\cdot \frac{\sqrt {2}}{\sqrt {2}}=\frac{\sqrt {210}}{2}$ $d=\frac{\sqrt {210}}{2}$ or about $7.25$ miles.
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