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Z' starts walking from his home andwalks 5m in the east direction, then he turns 900 in the anti-clockwisedirection and walks 10m and then he takes a right turn and walks 15m. Then heturns 900 in the clockwise direction and walks 2m to reach hisschool. From his school, he walks 8m in the East direction and then takes aright turn and walks 3m, then he walks 9m after turning 900 in the anti-clockwisedirection, then he finally takes a right turn and walks 5m to reach theplayground.What is the shortest distance between Z's home and the playground?36m35m37m38m

Question

Z' starts walking from his home andwalks 5m in the east direction, then he turns 900 in the anti-clockwisedirection and walks 10m and then he takes a right turn and walks 15m. Then heturns 900 in the clockwise direction and walks 2m to reach hisschool. From his school, he walks 8m in the East direction and then takes aright turn and walks 3m, then he walks 9m after turning 900 in the anti-clockwisedirection, then he finally takes a right turn and walks 5m to reach theplayground.What is the shortest distance between Z's home and the playground?36m35m37m38m

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Solution

To find the shortest distance between Z's home and the playground, we need to trace Z's path and then use the Pythagorean theorem to calculate the distance.

  1. Z starts at his home and walks 5m east.
  2. He turns 90 degrees anti-clockwise (which is north) and walks 10m.
  3. He takes a right turn (which is east) and walks 15m.
  4. He turns 90 degrees clockwise (which is south) and walks 2m to reach his school.
  5. From his school, he walks 8m east.
  6. He takes a right turn (which is south) and walks 3m.
  7. He turns 90 degrees anti-clockwise (which is east) and walks 9m.
  8. He takes a right turn (which is south) and walks 5m to reach the playground.

Now, let's calculate the total distance east and the total distance north:

East: 5m (step 1) + 15m (step 3) + 8m (step 5) + 9m (step 7) = 37m North: 10m (step 2) - 2m (step 4) - 3m (step 6) - 5m (step 8) = 0m

So, Z's home and the playground are 37m apart in the east-west direction and 0m apart in the north-south direction. Therefore, the shortest distance between Z's home and the playground is 37m. So, the correct answer is 37m.

This problem has been solved

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