SOLUTION: Two ships leave the dock at 8:00 am. The first ship travels at a bearing of N 26 degrees W at 18 miles per hour. The second ship travels at a bearing of S 43 degrees W at 24 miles

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two ships leave the dock at 8:00 am. The first ship travels at a bearing of N 26 degrees W at 18 miles per hour. The second ship travels at a bearing of S 43 degrees W at 24 miles       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 977502: Two ships leave the dock at 8:00 am. The first ship travels at a bearing of N 26 degrees W at 18 miles per hour. The second ship travels at a bearing of S 43 degrees W at 24 miles per hours. find the distance between the two ships at 1:00 pm that same day.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
0 degrees is due East.
N 26 degrees W would be 90%2B26=116
S 43 degrees W would be 270-43=227
From 8:00 AM to 1:00 PM would be 5 hours.
D%5B1%5D=18%2A5=90
D%5B2%5D=24%2A5=120
So the vector from first ship to the second is,
(90cos%28116%29,90sin%28116%29)-(120%28cos%28227%29%29,120sin%28227%29)=(42.4,168.7)
The distance is the magnitude of the vector,
D=sqrt%2842.4%5E2%2B168.7%5E2%29
D=173.9miles