Latitudes Pittsburgh, Pennsylvania, and Miami, Florida, lie approximately on the same meridian. Pittsburgh has a latitude of 40.5 degreesN, and Miami has a latitude of 25.5 degrees N. Find the distance between these two cities. (The radius of the earth is 3960 mi.)

Respuesta :

Answer:

[tex]r = 1036.725\,mi[/tex]

Step-by-step explanation:

The distance per unit grade on Earth is:

[tex]\Delta s = \frac{2\pi\cdot (3960\,mi)}{360}[/tex]

[tex]\Delta s \approx 69.115\,miles[/tex]

The distance between Pittsburgh and Miami is:

[tex]r = (69.115\,mi)\cdot (40.5^{\textdegree}-25.5^{\textdegree})[/tex]

[tex]r = 1036.725\,mi[/tex]

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