a man walks 6 metre towards north from his house and 3 metre towards west. what would be the coordinates of the men in the final position considering his house at origin?
Answers
Step-by-step explanation:
LOGICAL REASONING
A man walked 3 metre towards North, turned West and walked 2 metre then turned North and walked 1 metre and finally turned East and walked 5 metre. How far is he from the starting point ?
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ANSWER
Let us consider a Cartesian plane thinking positive X-axis as South,
Negative x axis as North, Positive Y-axis as East and Negative as West.
A man walked along negative X-axis 3 m and then parallel to negative Y-axis he walked 2 m.
And then parallel to negative X-axis he walked 1 m and finally walked 5 m parallel to positive Y-axis and he has coordinates of (−4,3).
He makes right angle triangle with base AC=4, side AB=3 and hypotenuse BC.
∴ by Pythagoras theorem,
BC
2
=AB
2
+AC
2
⟹ BC
2
=3
2
+4
2
∴ BC=5.
Hence from origin he is at distance of 5 m.
Thus, option A is the correct.
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