A man walks 5m towards east and turns right and moves 12m. The magnitude of displacement is

13 m

13m

It’s 13

To find the magnitude of the displacement, we can use the Pythagorean theorem. The Pythagorean theorem 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 man first walks 5m towards the east. Let's call this distance "a". Then, he turns right and moves 12m. Let's call this distance "b". We can consider the path he takes as a right triangle, with "a" representing one side and "b" representing the other side.

Using the Pythagorean theorem, we have:

c^2 = a^2 + b^2

where c represents the hypotenuse (the magnitude of the displacement).

Substituting the given values, we get:

c^2 = 5^2 + 12^2
= 25 + 144
= 169

Taking the square root of both sides:

c = √169
= 13 m

Therefore, the magnitude of the displacement is 13 meters.

Yehdh

15