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Select the correct answerAsmi is standing at Point P facing East. She walks for 8m and turns to her left. She then walks for 5 m and turns to her right. She stops after walking for 4m. Sagar is standing at point R facing south. point R is 5m to the east of point P. He walks for 4m and turns to his left. He stops after walking for 7m.What is the distance between the final positions of Asmi and Sagar?Options5mCannot be determined11m9m

Question

Select the correct answerAsmi is standing at Point P facing East. She walks for 8m and turns to her left. She then walks for 5 m and turns to her right. She stops after walking for 4m. Sagar is standing at point R facing south. point R is 5m to the east of point P. He walks for 4m and turns to his left. He stops after walking for 7m.What is the distance between the final positions of Asmi and Sagar?Options5mCannot be determined11m9m

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Solution

The answer to this question can be determined by visualizing or drawing out the paths of Asmi and Sagar.

  1. Asmi starts at point P facing East. She walks 8m East.
  2. She turns left, which means she is now facing North. She walks 5m North.
  3. She turns right, which means she is now facing East again. She walks 4m East. This is her final position.

Now let's track Sagar's path:

  1. Sagar starts at point R facing South. Point R is 5m East of point P, so he is already 5m East of Asmi's starting position.
  2. He walks 4m South.
  3. He turns left, which means he is now facing East. He walks 7m East. This is his final position.

Now, to find the distance between their final positions, we need to consider the total distance each of them moved East and North/South.

Asmi moved 8m + 4m = 12m East and 5m North. Sagar moved 5m (initially to the East of Asmi) + 7m = 12m East and 4m South.

Since they both moved the same distance East, they are aligned on the East/West axis. However, Asmi moved 5m North and Sagar moved 4m South. This means they are 5m + 4m = 9m apart on the North/South axis.

So, the final distance between Asmi and Sagar is 9m.

This problem has been solved

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