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 490: 70

Answer

$2.525359\times10^{13}mi$

Work Step by Step

Step 1. Identify the quantities: distance from the Earth to the Sun $E_1O=9.3\times10^7mi$, angle $\angle E_1SO=0.000211^\circ$ Step 2. Use the figure given in the problem, in the right triangle of $\Delta E_1OS$, $sin0.000211^\circ=\frac{E_1O}{E_1S}$, thus the distance from the Earth to this star is $E_1S=\frac{E_1O}{sin0.000211^\circ} =\frac{9.3\times10^7}{sin0.000211^\circ}\approx2.525359\times10^{13}mi$
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