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Papessa [141]
2 years ago
9

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
Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0

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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