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.
A ship has steamed 120 nautical miles North and 230 nautical miles West. What is the distance?
1 answer