Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa y in the direction of S50° E .How far apart are the two planes
1 answer:
9514 1404 393
Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart .
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