Question : Directions: Starting from point X, a person walked 20 m towards the South to reach point Y. From there, he took a left turn and walked 25 m to reach point Z. He then took a left turn and walked for another 20 m to reach point P. What is the approximate shortest distance between the points X and Z and in which direction is the person's final position with respect to point X?
Option 1: 50 m, South East
Option 2: 36 m, South East
Option 3: 32 m, East
Option 4: 46 m, North West
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Correct Answer: 32 m, East
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the approximate shortest distance between points X and Z and in which direction is the person's final position with respect to point X.
Here, X is the starting point Z is the endpoint, and the shortest distance between points X and Z = d
Using Pythagoras theorem, we have
⇒ (d)
2
= (20)
2
+ (25)
2
⇒ (d)
2
= 400 + 625
⇒ (d)
2
= 1025
⇒ d = 32.01 ~ 32
From the above diagram, the endpoint (P) is in the east direction from the starting point (X) and the shortest distance between points X and Z is 32m. Hence, the fourth option is correct.
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