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Alan started walking from a point 'P' towards north and walked 30 metres. He then turned left and walked 40 metres and reached 'Q'. At what minimum straight line distance and in which direction is the point Q from P?Select one:a. 50 metres north-eastb. 60 metres north-eastc. 50 metres north-westd. 60 metres north-west

Question

Alan started walking from a point 'P' towards north and walked 30 metres. He then turned left and walked 40 metres and reached 'Q'. At what minimum straight line distance and in which direction is the point Q from P?Select one:a. 50 metres north-eastb. 60 metres north-eastc. 50 metres north-westd. 60 metres north-west

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Solution

The answer is a. 50 metres north-east.

Here's the step-by-step solution:

  1. Alan starts at point P and walks 30 metres north.
  2. He then turns left, which would be towards the west, and walks 40 metres to reach point Q.

Now, to find the straight line distance from P to Q, we can use the Pythagorean theorem

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