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A map suggests that Atlanta is 730 miles in a direction of

5.00° north of east from Dallas. The same map shows that

Chicago is 560 miles in a direction of 21.0° west of north

from Atlanta. Modeling the Earth as flat, use this information

to find the displacement from Dallas to Chicago.

My concern is about the angle 21 north west of atlanta this is not theta wrt x.?!

theta is 21+90 =111. is that right.?!

1 Answer

3 votes

Answer:

The displacement from Dallas to Chicago is 788 miles.

Step-by-step 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,


c=√(a^2+b^2-2ab\cosC)

Where, a = distance between Dallas to Atlanta

b = distance between Atlanta to Chicago

Put the value into the formula


c=√((560)^2+(730)^2-2*560*730\cos74)


c=788\ miles

Hence, The displacement from Dallas to Chicago is 788 miles.

A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from-example-1
User Luis Sep
by
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