Two planes took off from the airport. One flew north and landed after 400 km
| May 16, 2021 | education
Two planes took off from the airport. One flew north and landed after 400 km, the other flew east and landed after 300 km. What is the distance between planes after landing?
Since the planes were flying north and east, the angle between them will be 90 degrees.
Then, in a right-angled triangle ABC, the distance that the first plane flew is equal to the leg AB = 400 km, and the distance that the second plane flew is equal to the leg AC = 300 km, and the hypotenuse of the aircraft is equal to the distance between the planes after landing. Then by the Pythagorean theorem
BC ^ 2 = AB ^ 2 + AC ^ 2.
BC ^ 2 = 400 ^ 2 + 300 ^ 2 = 250,000.
BC = √250000.
BC = 500.
Answer: The distance between the planes after landing is 500 km.
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