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GPS: From Signals to a Position

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GPS: From Signals to a Position

Analyze how sentences build, explain, and qualify an idea.

Read and trace the explanation

Read the article. For each question, focus on how the sentences work together, not just the facts they contain.

A Position Built from Timing

1A location dot on a phone’s map looks simple, but producing it requires information arriving from far above Earth. GPS, the Global Positioning System, uses a network of orbiting satellites that broadcast radio signals. Those signals include information about when they were sent and where the satellites were in their orbits. A receiver, such as the one in a phone, uses these messages to calculate its own position. The satellites do not need a message from that receiver to make this calculation possible.

2A receiver begins by estimating how long a satellite’s signal took to reach it. Because radio signals travel at the speed of light, travel time can be converted into an estimate of distance. One distance alone places the receiver somewhere on an imaginary sphere centered on that satellite, rather than at a single known point. Comparing several such distance measurements narrows the possibilities to a common position. This explanation leaves out an important difficulty, however: the receiver’s clock is not perfectly synchronized with the satellites’ clocks.

3Even a tiny clock error can produce a large error in the distance calculation because radio signals move so quickly. Imagine timing a runner with a stopwatch that starts late: the recorded time would not match the actual travel time. The consequences are much greater for a radio signal, so a GPS receiver generally uses measurements from at least four satellites to solve for its position and its clock error together. The additional measurement therefore helps correct the timing problem rather than simply providing another vote for a location.

4Having enough satellite measurements does not guarantee that every measurement is equally useful. A building can block a signal, while another surface can reflect a signal toward the receiver along a longer path. That reflected signal arrives later than a direct signal would, which can make the satellite seem farther away. Receivers can compare available measurements and reject some suspicious ones, but these methods cannot remove every source of error.

5Calculating a position is also different from displaying useful directions. GPS supplies location information; mapping software combines that information with stored road layouts and route instructions. A device may receive satellite signals without an internet connection, although downloading a new map or current traffic information can require a separate connection. Thus, a working location dot and a complete navigation service depend on related but distinct kinds of information.

1.
In paragraph 2, how does the sentence beginning “Comparing several” develop the explanation that comes before it?
Question 1 options
2.
Underline the sentence from paragraph 2 that explains how the receiver turns a signal’s travel time into a distance.

3.
How do the second and third sentences of paragraph 1 work together?
Question 3 options
4.
What does the final sentence of paragraph 1 add to the description of the receiver’s role?
Question 4 options

Examine sentence relationships

Return to the named paragraph before choosing an answer. Notice causes, examples, limitations, and transitions.

5.
Why does paragraph 2 end with the sentence about the receiver’s clock?
Question 5 options
6.
In paragraph 3, what is the function of the example about timing a runner?
Question 6 options
7.
In paragraph 3, why does the author follow the runner example with “The consequences are much greater for a radio signal”?
Question 7 options
8.
How does the final sentence of paragraph 3 refine the explanation of the additional satellite measurement?
Question 8 options
9.
A student says the opening sentence of paragraph 4 repeats the point that more measurements improve a calculation. Which analysis best corrects the student?
Question 9 options

Evaluate the paragraph design

Analyze why the author includes and orders particular sentences. Support your final explanation with details from the article.

10.
In paragraph 4, what explanatory link would be lost if the sentence beginning “That reflected signal” were removed?
Question 10 options
11.
The final sentence of paragraph 4 describes what receivers can do, then adds “but these methods cannot remove every source of error.” What is the effect of that second part?
Question 11 options
12.
Which description best traces the sentence-by-sentence structure of paragraph 5?
Question 12 options
13.
Explain how paragraph 4 develops and refines its key idea from beginning to end. Describe the jobs of at least three sentences and explain why their order helps the reader.