Question

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.




A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

48 miles
56 miles
104 miles
128 miles

Answer 1

warehouse location (24,-32)

airport location (-24,32)

 distance = sqrt((x2-x1)^2 +(y2-y1)^2)=

Sqrt(24--24)62 +(32--32)^2) =

sqrt(48^2 +64^2) =80

then distance from airport to the factory = -24 to 24 = 48

80+48 = 128 miles total