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 104 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?

130
169
201
208

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 104 miles due north of the warehouse class=

Respuesta :

step 1
find the coordinates of the factory
the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)

distance AB=
√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3
find the distance airport to factory
B(-39,52)
C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39
the total number of miles=169 miles

the answer is
169 miles

Answer:

169 miles

Step-by-step explanation: