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 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

Answer 1

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 2

Answer:

169 miles

Step-by-step explanation: