Points and Directions

Logic Level 2

Point $A$ is $12 m$ to the north of Point $Z$ .
Point $X$ is $13 m$ to the east of Point $A$ .
Daya is standing $6 m$ north of Point $X$ .
Daya first walks $18 m$ towards west, then she takes a left turn and walks $12 m$ , then takes again a left turn and walks for $5 m$ and stops at Point $F$ .

How far and in which direction is Point $F$ with respect to Point $A$ ?

9 m towards north 12 m towards south 8 m towards east 6 m towards south

1 solution

Ram Mohith
Jun 26, 2018

The given conditions can be visualized in the following diagram. (The diagram is not drawn to scale)

Now, the distance from Daya and $X$ is $6 m$ and the distance from $A$ to $Z$ is $12 m$ . So, the total distance when $AZ$ is extended backwards till the $18 m$ line is : $12 + 6 = 18 m$

And also, Daya walks $12 m$ southwards and parallel to $AZ$ line. We already it's the length as $18 m$ . From these two we can get the length of $FZ$ .

$\implies FZ = 18 - 12 = 6 m$

Now, if we get the length of $FZ$ we can easily get the lenght of $AF$ .

$\implies AF = 12 - FZ = 12 - 6 = 6 m$

$\color{#20A900}\text{Therefore, the point F is located 6m towards south of point A.}$

It appears as though you forgot to mention the 12 m southward leg of Daya's journey in the text of your question.

Brian Charlesworth - 2 years, 11 months ago

Oh. Sorry for the inconvenience. I didn't see that mistake. I have now updated the question. Thanks for informing sir.

Ram Mohith - 2 years, 11 months ago

Points and Directions

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