Bhairav walked 30 ft towards North, then took a left turn and walked 15 ft. He again took a left turn and walked 30 ft. How far and in which direction is Bhairav from the starting point?
Question
Bhairav walked 30 ft towards North, then took a left turn and walked 15 ft. He again took a left turn and walked 30 ft. How far and in which direction is Bhairav from the starting point?
Solution
Bhairav is 15 ft away from the starting point in the West direction.
Here's how we get this:
- Bhairav starts at a point and walks 30 ft North.
- He then takes a left turn. Since he was facing North, a left turn would now have him facing West. He walks 15 ft in this direction.
- He takes another left turn. Since he was facing West, a left turn would now have him facing South. He walks 30 ft in this direction.
At this point, Bhairav has walked back to the same latitude as his starting point (since he walked 30 ft North and then 30 ft South). However, he is 15 ft to the West of his starting point (from his walk in step 2). Therefore, he is 15 ft away from the starting point in the West direction.
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