A postman was returning to the post office wh | vedclass

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(B) Let the initial position of the postman be $P$ and the post office be at $O$. The post office is $100 \, m$ to the north of $P$.$1$. The postman t

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(B) Let the initial position of the postman be $P$ and the post office be at $O$. The post office is $100 \, m$ to the north of $P$.$1$. The postman turns left from his path towards the north and moves $50 \, m$ west to reach Shantivilla $(S)$.$2$. From $S$,he continues in the same direction (west) for another $40 \, m$ to reach point $A$.$3$. At point $A$,he turns right (north) and moves $100 \, m$ to reach his final position $F$.$4$. The horizontal distance between the post office $(O)$ and the final position $(F)$ is the sum of the distances moved west,which is $50 \, m + 40 \, m = 90 \, m$.$5$. Since he moved $100 \, m$ north from $A$ and the post office is $100 \, m$ north of the line $PS$,the vertical displacement cancels out.$6$. Therefore,the distance between the post office and the postman is $90 \, m$.

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