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On a map of 1:40,000 scale, the distance measured between points A and B is 7.3 inches. What ground distance in statute miles, nautical miles, and kilometers does this represent?

Respuesta :

Answer:

In km 7.4168 km

In nautical miles 4 nautical miles

In statute miles 4.6080 miles

Explanation:

We have given scale = 1:40000 on this scale measured distance between A and B is 7.3 inches

So actual distance between A and B = 40000×7.3 = 292000 inches

We know that [tex]1inch=2.54\times 10^{-5}km[/tex]

So 292000 inches = [tex]292000\times 2.54\times 10^{-5}km=7.4168km[/tex]

Now we know that 1 km = 0.5399 nautical miles

So 7.4168 km = 7.4168×0.5399 = 4 nautical miles

We know that 1 km = 0.6213 statute mile

So 7.4168 km = 7.4168×0.6213 = 4.6080 statute mile

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