Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1031: 30

Answer

$32.39$ astronomical units (which is $\approx 3013$ million miles)

Work Step by Step

We have $ r=\dfrac{1.069}{1+0.967 \sin \theta}$ or, $ r=\dfrac{1.069}{1+0.967 \sin (\dfrac{3 \pi}{2})}$ (we use $\theta=\dfrac{3\pi}{2}$ for the maximum distance from the sun.) or, $ r \approx 32.39$ astronomical units
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