A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour? (Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits (see the figure below). The image illustrates a satellite orbiting the Earth. It shows two positions: the "Starting position" and the "Position after 1 hour." The satellite travels in a circular orbit around the Earth.Key elements in the diagram include:1. **Satellite Positions**: The starting position of the satellite is marked, and a curved arrow indicates its movement to another position, labeled "Position after 1 hour."2. **Measurements**: - The distance from the Earth’s center to the satellite's initial position is 4,000 miles. - The distance traveled by the satellite in one hour is 200 miles, shown as the arc length between the two positions.3. **Circular Orbit**: The circular path of the satellite is represented with arrows depicting the direction of movement around the Earth.This diagram helps illustrate the concept of satellite orbits and provides measurements to aid in calculating orbital speed and distance.

distance covered in one revolution of satellite = perimeter of circle radius for satellite curve…

Answered: A satellite 200 miles above the earth…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour? (Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits (see the figure below).

The image illustrates a satellite orbiting the Earth. It shows two positions: the "Starting position" and the "Position after 1 hour." The satellite travels in a circular orbit around the Earth.

Key elements in the diagram include:

1. **Satellite Positions**: The starting position of the satellite is marked, and a curved arrow indicates its movement to another position, labeled "Position after 1 hour."

2. **Measurements**:
- The distance from the Earth’s center to the satellite's initial position is 4,000 miles.
- The distance traveled by the satellite in one hour is 200 miles, shown as the arc length between the two positions.

3. **Circular Orbit**: The circular path of the satellite is represented with arrows depicting the direction of movement around the Earth.

This diagram helps illustrate the concept of satellite orbits and provides measurements to aid in calculating orbital speed and distance.

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