SOLUTION: 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be after 2 hours?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be after 2 hours?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 312879: 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be after 2 hours?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The paths of the two aircraft are apart. So we have a triangle with sides of km and km and an included angle of .

Use the Law of Cosines:



Since similar triangles have proportional sides, to save some arithmetic difficulties, I recommend using 12 and 8 for the measures of the sides and then multiplying the result by 100 to re-scale your triangle.



You can run a calculator as well as I can -- the rest is up to you.

John