Question

You are looking at a map. Town A is at (4, 8) and town B is at (7, 17). What is the distance between the two towns (round to the nearest tenth)? If the scale used on the map is .5 units = 24 miles, how far apart are the cities in miles?

Answer 1

470.4 Miles

Explanation:

The distance between two points
`(x_1,y_1) \& (x_2,y_2)` is obtained using the distance formula:

Distance
`=√((x_2-x_1)^2+(y_2-y_1)^2)`

Given Town A at (4, 8) and Town B is at (7, 17).

Distance between A and B is:

`AB=√((7-4)^2+(17-8)^2)\\=√((4)^2+(9)^2)\\AB=√(97) \approx 9.8\\$Since .5 Units=24 Miles\\1 Unit =48 Miles\\Therefore:\\9.8 Units = 9.8 X 48 =470.4 Miles`

The distance between AB is 470.4 Miles.