SOLUTION: A working student has to deliver a package to a client. Before he can reach the client's office, he has to travel 3 km due to east, then 4 km due to south, and then 6 km due to wes

Algebra ->  Pythagorean-theorem -> SOLUTION: A working student has to deliver a package to a client. Before he can reach the client's office, he has to travel 3 km due to east, then 4 km due to south, and then 6 km due to wes      Log On


   



Question 678384: A working student has to deliver a package to a client. Before he can reach the client's office, he has to travel 3 km due to east, then 4 km due to south, and then 6 km due to west. How far is their office from the client's office?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
If you plot this on a coordinate plane starting at (0,0) you see it ends up at the point (-3,-4). Use the distance formula between the two points. The distance formula is the squareroot of the difference between the x's squared plus the distance between the y's squared.


sqrt%28%280%2B+-3%29%5E2+%2B+%280+%2B+-4%29%5E2%29+=+sqrt%289%2B16%29+=+sqrt%2825%29+=+5. The distance is 5 miles.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)