A man goes 10m towards north, and then 20m towards east then displacement is:

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22.5m

25m

25.5m

30m

answer is A.

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Detailed Solution

Concept: The linear route taken by a person from a starting point to a finishing point is referred to as displacement. The shortest linear path taken by the body is always displacement. Distance is referred to as the actual path taken, and it may be computed by adding the body's initial path.
We are aware that North is constantly moving higher, South is moving downward, East is moving left, and West is moving right.
Question Image

Man moves 10m in the first part of the question.
It moves 20m toward the north along OA in an uphill manner.
Along AB in the right direction, toward east. As a result, they travel perpendicularly.
O is the starting point of motion, and B is the destination.
As is well known, displacement is defined as the straight line that connects the motion's starting point and ending point. Thus, length OB in this figure stands in for displacement.
The Pythagorean theorem may be used in the right-angled triangle ABC to compute the size of the displacement OB since OA and AB are perpendicular to one another.
The Pythagorean Theorem states that