Question
A ship has steamed 120 nautical miles North and 230 nautical miles West. What is the distance?
Answers
GPT 3.5
To find the distance, we can use the Pythagorean theorem since we have a right triangle formed by the North and West displacements.
The North displacement is 120 nautical miles and the West displacement is 230 nautical miles.
Using the Pythagorean theorem:
Distance^2 = (North displacement)^2 + (West displacement)^2
Distance^2 = 120^2 + 230^2
Distance^2 = 14400 + 52900
Distance^2 = 67300
Taking the square root of both sides:
Distance = √(67300)
Distance ≈ 259.63 nautical miles
Therefore, the distance is approximately 259.63 nautical miles.
The North displacement is 120 nautical miles and the West displacement is 230 nautical miles.
Using the Pythagorean theorem:
Distance^2 = (North displacement)^2 + (West displacement)^2
Distance^2 = 120^2 + 230^2
Distance^2 = 14400 + 52900
Distance^2 = 67300
Taking the square root of both sides:
Distance = √(67300)
Distance ≈ 259.63 nautical miles
Therefore, the distance is approximately 259.63 nautical miles.