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Question: If a man goes 10 m toward north and 20 m toward east, then his displacement is...

If a man goes 10 m toward north and 20 m toward east, then his displacement is

A

22.5 m

B

25 m

C

25.5 m

D

30 m

Answer

22.5 m

Explanation

Solution

Displacement=AC=(AB)2+(BC)2= AC = \sqrt{(AB)^{2} + (BC)^{2}}

=(10m)2+(20m)2= \sqrt{(10m)^{2} + (20m)^{2}}

=100+400=22.5m= \sqrt{100 + 400} = 22.5m