When Satellites Observe Earth, They Can Scan Only Part of Earth's

question 78

Multiple Choice

When satellites observe Earth, they can scan only part of Earth's surface. Some satellites have sensors that can measure the angle $\theta$ 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 $\theta$ when $\theta = 60 ^ { \circ }$ (Assume $r = 4460$ miles.) Round your answer to the nearest unit.

• A) \(- 2973 \mathrm { mi } / \mathrm { radian }\)
• B) \(- 5150 \mathrm { mi } / \mathrm { radian }\)
• C) \(5150 \mathrm { mi } / \mathrm { radian }\)
• D) \(- 8920 \mathrm { mi } / \mathrm { radian }\)
• E) \(2973 \mathrm { mi } / \mathrm { radian }\)

---

Definitions:

Split Cells

The act of dividing a single cell into multiple cells, typically performed in tables or spreadsheet programs to better organize data.

Sort

The process of arranging data in a specific order, often alphabetically or numerically, to improve readability or analysis.

AutoFit

A feature in spreadsheet and word processing software that automatically adjusts the width or height of a cell, column, or row to accommodate its contents.

Split Table

A database design technique used to improve performance and manageability by dividing a table into smaller, more manageable pieces.