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If you are facing north-east and move 10 m forward, turn left and move 7.5 m, then you are:
  • a)
    north of your initial position
  • b)
    south of your initial position
  • c)
    12.5 m from the initial position
  • d)
    Both A and C
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If you are facing north-east and move 10 m forward, turn left and mov...
Solution:

Given, the initial direction is north-east.

After moving 10 m forward and turning left, the new direction is north-west.

Further, after moving 7.5 m, we can find the final position as follows:

Using Pythagoras theorem,
Distance travelled in north-west direction = √((10)^2 + (7.5)^2) = √(100 + 56.25) = √156.25 = 12.5 m

So, the final position is 12.5 m from the initial position, and in the north-west direction.

Therefore, the correct answer is option D, i.e., both A and C.
Free Test
Community Answer
If you are facing north-east and move 10 m forward, turn left and mov...
Clearly, the narrator starts from A, moves towards north-east a distance of 10 m up to B, turns left (90 degree anti-clockwise) and moves 7.5 m up to C. Clearly, C lies to the north of A. Also, △ABC is right-angled at B. So,
AC2 = AB2 + BC2 = (10)2 + (7.5)2
= 100 + 56.25 = 156.25
Thus the narrator is 12.5 m to the north of his initial position.
Hence, the correct option is (D).
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