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A man walks 1km due east and then 1 km due north His disp...

A man walks 1km due east and then 1 km due north His displacement?

A.

√2km N 45°E

B.

1km N 30°E

C.

1km N 15°E

D.

√2km N 60°E

Correct answer is A

His movements 1km due east and then 1 km due north make a Right-Angled Triangle.

Using Pythagoras' theorem;

The Resultant becomes the Hypotenuse [h]

Hyp2 = Adj2 + \Opp(^2\)

Hyp2 = 12 + 12

Hyp2 = 2 → Hyp = √2

: Resultant = √2

DIRECTION TAN Ø = OPPADJ 

TAN Ø = 11

Ø = TAN1 [1]

Ø= 45°

Displacement is √2km N 45°E