Answer :
Answer:
The displacement from Dallas to Chicago is 788 miles.
Explanation:
Given that,
A map shows that,
Atlanta is 730 miles in a direction of 5.00° north of earth from Dallas.
Same map shows that,
Chicago is 560 miles in a direction of 21.0° west of north from Atlanta.
We need to calculate the displacement from Dallas to Chicago
We need to figure,
In figure,
C = Atlanta
B = Chicago
A = Dallas
Using cosine law,
[tex]c=\sqrt{a^2+b^2-2ab\cosC}[/tex]
Where, a = distance between Dallas to Atlanta
b = distance between Atlanta to Chicago
Put the value into the formula
[tex]c=\sqrt{(560)^2+(730)^2-2\times560\times730\cos74}[/tex]
[tex]c=788\ miles[/tex]
Hence, The displacement from Dallas to Chicago is 788 miles.
