Chapter 4.1, Problem 63E

Solution

To identify: The difference in longitude between Atlanta and San Francisco cities.

  $\boxed{\begin{array}{ccc}\text{ City }& \text{ Latitude }& \text{ Longitude }\\ \text{ Atlanta }& {33}^{°}{45}^{\prime }& {84}^{°}{23}^{\prime }\\ \text{ Chicago }& {41}^{°}{51}^{\prime }& {87}^{°}{39}^{\prime }\\ \text{ Detroit }& {42}^{°}{20}^{\prime }& {83}^{°}{03}^{\prime }\\ \text{ Los Angeles }& {34}^{°}{03}^{\prime }& {118}^{°}{15}^{\prime }\\ \text{ Miami }& {25}^{°}{46}^{\prime }& {80}^{°}{12}^{\prime }\\ \text{ Minneapolis }& {44}^{°}{59}^{\prime }& {93}^{°}{16}^{\prime }\\ \text{ New Orleans }& {29}^{°}{57}^{\prime }& {90}^{°}{05}^{\prime }\\ \text{ New York }& {40}^{°}{43}^{\prime }& {74}^{°}{0}^{\prime }\\ \text{ San Diego }& {32}^{°}{43}^{\prime }& {117}^{°}{09}^{\prime }\\ \text{ San Francisco }& {37}^{°}{47}^{\prime }& {122}^{°}{25}^{\prime }\\ \text{ Seattle }& {47}^{°}{36}^{\prime }& {122}^{°}{20}^{\prime }\end{array}}$

The difference in longitude between the cities Atlanta and San Francisco is 38°02'.

Given information:

The given table is:

  $\boxed{\begin{array}{ccc}\text{ City }& \text{ Latitude }& \text{ Longitude }\\ \text{ Atlanta }& {33}^{°}{45}^{\prime }& {84}^{°}{23}^{\prime }\\ \text{ Chicago }& {41}^{°}{51}^{\prime }& {87}^{°}{39}^{\prime }\\ \text{ Detroit }& {42}^{°}{20}^{\prime }& {83}^{°}{03}^{\prime }\\ \text{ Los Angeles }& {34}^{°}{03}^{\prime }& {118}^{°}{15}^{\prime }\\ \text{ Miami }& {25}^{°}{46}^{\prime }& {80}^{°}{12}^{\prime }\\ \text{ Minneapolis }& {44}^{°}{59}^{\prime }& {93}^{°}{16}^{\prime }\\ \text{ New Orleans }& {29}^{°}{57}^{\prime }& {90}^{°}{05}^{\prime }\\ \text{ New York }& {40}^{°}{43}^{\prime }& {74}^{°}{0}^{\prime }\\ \text{ San Diego }& {32}^{°}{43}^{\prime }& {117}^{°}{09}^{\prime }\\ \text{ San Francisco }& {37}^{°}{47}^{\prime }& {122}^{°}{25}^{\prime }\\ \text{ Seattle }& {47}^{°}{36}^{\prime }& {122}^{°}{20}^{\prime }\end{array}}$

Explanation:

Consider the given information.

From the table longitude position of Atlanta is $84°23\text{'}$ and longitude position of San Francisco is ${122}^{°}{25}^{\prime }$ .

Hence, the difference in longitude between the cities Atlanta and San Francisco is:

  $122°25\text{'}-84°23\text{'}$

Subtract the degrees from degrees and minutes from minutes.

  $122°25\text{'}-84°23\text{'}=38°02\text{'}$

Thus. the difference in longitude between the cities Atlanta and San Francisco is 38°02'.