Part 1On the earth, 73° of latitude is how many kilometers? how many miles? (Assume that the radius of the earth is 6400 km, or 4000 mi, approximately.)On earth 73° of latitude is approximately equal to kilometers.(Type an integer or decimal rounded to one decimal place as needed.)

Part 1On the earth 73 of latitude is how many kilometers how many miles Assume that the radius of the earth is 6400 km or 4000 mi approximatelyOn earth 73 of la class=

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Answer:

• On earth 73° of latitude is approximately equal to 8154.2 km.

,

• On earth 73° of latitude is approximately equal to 5096.4 mi.

Explanation:

The distance along a line of latitude is calculated using the formula:

[tex]D=\frac{\theta}{360\degree}\times2\pi R\text{ where }\begin{cases}\theta=Angle\text{ of Latitude} \\ R=Radius\text{ of the earth}\end{cases}[/tex]

Given: θ = 73°, R=6400 km

Then:

[tex]\begin{gathered} D=\frac{73\degree}{360\degree}\times2\times\pi\times6400 \\ =8154.2\text{ km} \end{gathered}[/tex]

On earth 73° of latitude is approximately equal to 8154.2 km.

When R=4000 mi.

[tex]\begin{gathered} D=\frac{73\degree}{360\degree}\times2\times\pi\times4000 \\ \approx5096.4\text{ mi.} \end{gathered}[/tex]

• On earth 73° of latitude is approximately equal to 5096.4 mi.