SOLUTION: Two airplane (a passenger plane and a cargo plane) leave Abbotsford airport at the same time. The passenger plane travels at a bearing of 15 degree and a speed of 720 kph. The car

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Question 1098969: Two airplane (a passenger plane and a cargo plane) leave Abbotsford airport at the same time. The passenger plane travels at a bearing of 15 degree and a speed of 720 kph. The cargo jet travel at a bearing of 95 degree and a speed of 650 kph. How far apart will they be after 3 hours?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Distance
Break down the distance into x and y components.
The first plane travels from the airport at (0,0) to
(3%2A720cos%28115%29,3%2A720sin%28115%29)=(-912,1958)
The second plane travels from the airport to
(3%2A650%2Acos%2895%29,3%2A650%2Asin%2895%29)= (-170,1942)
Now use the distance formula,
D%5E2=%28-912-%28-170%29%29%5E2%2B%281958-1942%29%5E2
D=sqrt%28550564%2B+256%29
Work that out to get the distance in km.