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
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-> 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
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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.
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.
