Question

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?

Answer 1

In km 7.4168 km

In nautical miles 4 nautical miles

In statute miles 4.6080 miles

Step-by-step 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
`1inch=2.54* 10^(-5)km`

So 292000 inches =
`292000* 2.54* 10^(-5)km=7.4168km`

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