Chapter 4.1, Problem 66E

Solution

To identify: The difference in longitude between Miami and Seattle 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 Miami and Seattle is $42°08\text{'}$ .

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 Miami is $80°12\text{'}$ and longitude position of Seattle is $122°20\text{'}$ .

Hence, the difference in longitude between the cities Miami and Seattle is:

  $122°\text{ 20'}-80°12\text{'}$

Subtract the degrees from degrees and minutes from minutes with the subtraction of minutes first to obtain:

  $122°\text{ 20'}-80°12\text{'}=42°08\text{'}$

Thus, the difference in longitude between the cities Miami and Seattle is $42°08\text{'}$ .