A man travels7km due north and 10km of east find its displacement
D^2 = X^2 + Y^2.
D^2 = 10^2 + 7^2 =
D -
To find the displacement, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length 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 man has traveled 7km due north and 10km due east, which form the two sides of a right triangle. The displacement is the hypotenuse of this triangle.
Using the Pythagorean theorem, we can calculate the displacement as follows:
displacement = √(north^2 + east^2)
= √(7^2 + 10^2)
= √(49 + 100)
= √149
≈ 12.21 km
Therefore, the displacement of the man is approximately 12.21 km.