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 10
4 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?
Step 1 find the coordinates of the factory the <span>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=</span>√[(52+52)²+(-39-39)²]------> distance AB=130 miles <span> step 3 find the distance airport to factory B(-39,52) </span>C(39,52) distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles
<span>the total number of miles=distance AB+distance BC---> 130+39 </span><span>the total number of miles=169 miles </span> the answer is 169 miles
