Question

$Y$ is the east of $X$ which is in the North of $Z$ .If $P$ is to the south of $Z$ , then in which direction of $Y$ , is $P$ ?

Answer 1

Hint: To solve this problem , firstly we will draw the direction diagram for better understanding of the direction. Then we will check for all the conditions given in question. Then after drawing directions of $X$ , $Y$ , and $Z$ , we will draw points $P$ . Then we can conclude in which direction of $Y$ it is situated. This problem is based on the observation and directions.

Complete step-by-step answer:

The first step to solve this problem is to use the concept of directions. We have eight directions. Each main direction change always makes an angle of ${90^ \circ }$ . Sya if the Someone moves from east to west, then it will undergo ${90^ \circ }$ change. But when between north east to east it will be ${45^ \circ }$.
Since $Y$ is in the east of $X$ , we represent $Y$ as shown in the figure. Now, $X$ is in the north of $Z$ , then $Z$ must be in the south for $X$ .Hence we can draw that as shown in the figure. Now we draw a point $P$ which is to the south of $Z$ as shown. From the direction diagram, we can say that $P$ is in the south west direction of $Y$ .

Note: The important thing we need to remember is that problems like this will always ask for minimum distance, maximum distance etc. Hence we always need to assume distance as a straight line and from the specified points. We always use the concept of Pythagoras theorem to solve such problems.