When satellites observe Earth, they can scan only part of Earth's surface. Some satellites have sensors that can measure the angle  shown in the figure. Let h represent the satellite's distance from Earth's surface and let r represent Earth's radius. Find the rate at which h is changing with respect to  when

src="https://sciemce.com/media/2/ppg__cognero__Section_2.3__media__46425330-7b24-499e-801e-3eb8d4032706.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_8bacf3e1a4ae48a4a332f5ddf" /> (Assume  miles.) Round your answer to the nearest unit.









A. -2,642 mi/radian

B. -4,576 mi/radian

C. 4,576 mi/radian

D. -7,926 mi/radian

E. 2,642 mi/radian


Answer: A

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