Amap 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
theta is 21+90 =111. is that

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,

Where, a = distance between Dallas to Atlanta

b = distance between Atlanta to Chicago

Put the value into the formula

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

okay i have so many questions. but the big one here is: um wt..f is this mess? ?