A ship has steamed 120 nautical miles North and 230 nautical miles West. What is the distance?
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.
To find the distance, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ship has steamed 120 nautical miles North and 230 nautical miles West. These can be considered the two sides of a right triangle, with the distance being the hypotenuse.
Using the Pythagorean theorem formula, we can calculate the distance:
Distance = √(120^2 + 230^2)
Distance = √(14400 + 52900)
Distance = √67300
Distance ≈ 259.67 nautical miles
Therefore, the distance is approximately 259.67 nautical miles.