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:

Population Means

The average value of a given characteristic within a specified population.

Point Estimate

A single value or statistic calculated from a sample and used to estimate a corresponding population parameter.

Population Means

Refers to the average of all the individual values in a population.

T Distribution

A type of probability distribution that is symmetric and bell-shaped, commonly used for estimating population parameters when the sample size is small and the population variance is unknown.