SOLUTION: Two hikers start from the same point, one walks 9 Km due east and the other walks 10 Km 55 degree north east. How far apart are they at the end of their journey? Please answer wit

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two hikers start from the same point, one walks 9 Km due east and the other walks 10 Km 55 degree north east. How far apart are they at the end of their journey? Please answer wit      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1074622: Two hikers start from the same point, one walks 9 Km due east and the other walks 10 Km 55 degree north east. How far apart are they at the end of their journey?
Please answer with figure. Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So if the starting point is (0,0), the first hiker ends up at (9,0) and the second hiker ends up at (10cos%2855%29,10sin%2855%29).
Use the distance formula,
D%5E2=%2810cos%2855%29-9%29%5E2%2B%2810sin%2855%29-0%29%5E2%29
D%5E2=10.655%2B67.101
Complete the calculation to get D.