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Joe is walking towards North for 15 miles, turns left and walks another 10 miles. He then turns right and walks 10 miles. Now, he again turns right and walks 30 miles. Which direction is he from Starting point?

Question

Joe is walking towards North for 15 miles, turns left and walks another 10 miles. He then turns right and walks 10 miles. Now, he again turns right and walks 30 miles. Which direction is he from Starting point?

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Solution

Let's break down Joe's journey:

  1. Joe starts by walking 15 miles north. His position is now 15 miles north of the starting point.

  2. He then turns left. Since he was facing north, a left turn will now have him facing west. He walks 10 miles in this direction. His position is now 15 miles north and 10 miles west of the starting point.

  3. Next, he turns right. Since he was facing west, a right turn will have him facing north again. He walks 10 miles in this direction. His position is now 25 miles north and 10 miles west of the starting point.

  4. He turns right one more time. Since he was facing north, a right turn will have him facing east. He walks 30 miles in this direction. His position is now 25 miles north and 20 miles east of the starting point.

So, if we look at his final position in relation to the starting point, he is 25 miles north and 20 miles east. This means he is in the Northeast direction from the starting point.

This problem has been solved

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