SOLUTION: A plane travels due north at a speed of 500 mph. Simultaneously, a second plane travels at a bearing of 10 degrees east of south and at a speed of 480 mph. How far apart will the

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Question 942188: A plane travels due north at a speed of 500 mph. Simultaneously, a second plane travels at a bearing of 10 degrees east of south and at a speed of 480 mph. How far apart will the planes be in two hours?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming they started in the same place (0,0) at the same time (t=0).
In two hours, plane 1 will have traveled 1000 miles north (0,1000).
Plane 2 will have traveled 960 miles at 280 degrees,
(960cos%28280%29,960sin%28280%29)=(166.7,-945.4).
Use the distance formula to find the distance between them,
D%5E2=%280-166.7%29%5E2%2B%281000-%280-945.4%29%29%5E2
D%5E2=166.7%5E2%2B1945.4%5E2
D%5E2=3812370.05
D=1952.5miles