SOLUTION: Two flying drones leave an airport at the same time. The heading of the first is 120° and the heading of the second 320°. If the drones are traveling at 80 and 50 mph respectiv

Question 1135530: Two flying drones leave an airport at the same time. The heading of the first is
120° and the heading of the second 320°. If the drones are traveling at 80 and
50 mph respectively, how far apart will they be after 1 hour?
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two flying drones leave an airport at the same time. The heading of the first is
120° and the heading of the second 320°. If the drones are traveling at 80 and
50 mph respectively, how far apart will they be after 1 hour?
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You have a SAS triangle, 2 sides and the included angle.
---> Cosine Law
The sides are 80 miles and 50 miles.
The angle is 160 degrees.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this and the first drone is 40 miles south of where it started (sin 30*80) and 40 sqrt (3) miles east.
The other is cos 50=x/50 or x=50 cos 50=32.14 miles west and 50 sin 50 or 38.30 miles north.
These are essentially x and y values on the grid or (40 sqrt (30), -40) and (-32.14, 38.3)
The distance formula can be used for this or sqrt (diff (x)^2+ diff (y)^2)=sqrt((101.42^2+78.3^2))=128.13 miles.
This is reasonable, since they are almost on reciprocal bearings (140-320 or 120-300 would be), and that distance would be 130 miles.
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