Distance calculation (right triangle)

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Homework Help Overview

The problem involves calculating the distance between two cities based on a right triangle formed by the paths taken. The context includes a car's journey with specified distances in different directions, leading to a question about the final distance between the starting and ending points.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of the Pythagorean theorem to find the distance, with one participant questioning the accuracy of the provided answer choices. Others consider the implications of significant figures on the final answer.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the significance of significant figures. Some guidance has been offered regarding the calculation, but no consensus has been reached on the correct answer.

Contextual Notes

There is a mention of potential discrepancies in the provided answer choices and the relevance of significant figures in determining the final answer.

future_vet
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Homework Statement


Starting from city A, a car drives 250 miles east to city B, then 300 miles north to city C, and then 700 miles west to city D. What is the distance between city A and city D? (Points: 1)
300 mi
400 mi
500 mi
600 mi

Homework Equations


A^2 + B^2 = C^2

The Attempt at a Solution



A^2= 300^2
B^2= (700-250)^2
C^2= 292500
C= 540.8 miles.
Which answer should I choose? 500 or 600?

Thanks!
 
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Are you sure these are the listed answers?
 
Yes, did you get the same result I did?... Maybe it has something to do with significant figures?...
 
future_vet said:
Yes, did you get the same result I did?... Maybe it has something to do with significant figures?...

Your calculation is correct. The offered answers are obviously wrong. Mistakes happen. :wink:
 
I will ask the professor.
Thanks anyway!
 
I think that the answer is 500. He might count 300 and 700 to only have 2 significant figures, as opposed to 300. and 700. which have 3. Therefore, if the answer is 540, it would only be 500 if we take this into consideration... I think.
 

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