Reflecting on Plane's Displacement Calculation
What is the plane's displacement after traveling 210 km east and 90 km north?
Should we use Pythagoras theorem for this calculation?
Answer:
The plane's displacement is 228.47 km.
Explanation: It is given that the plane traveled 210 km east and 90 km north. To find the displacement, we use Pythagoras theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, [tex]d=\\sqrt{(210)^2+(90)^2}[/tex] = 228.47 km. Hence, the plane's displacement is 228.47 km.
Reflecting on the calculation of the plane's displacement after traveling 210 km east and 90 km north, we come to understand the significance of using mathematical principles such as Pythagoras theorem to determine the shortest path covered by the plane.
By breaking down the distances covered in the east and north directions into their respective components and applying the Pythagorean theorem, we are able to accurately calculate the plane's displacement as 228.47 km. This approach not only provides us with a precise measurement of the total distance traveled by the plane but also highlights the importance of utilizing mathematical concepts in real-world scenarios.