Chapter 4.1, Problem 64E

Solution

To identify: The difference in longitude between New York and San Diego 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 New York and San Diego is $43°09\text{'}$

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 New York is $74°0\text{'}$ and longitude position of San Francisco is $117°\text{ 09'}$ .

Hence, the difference in longitude between the cities New York and San Diego is:

  $117°\text{ 09'}-74°0\text{'}$

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

  $117°\text{ 09'}-74°0\text{'}=43°09\text{'}$

Thus, the difference in longitude between the cities New York and San Diego is $43°09\text{'}$ .