A person goes 5km east then turns right and goes 8km. The turns left and goes 5km, finally he turns to left and goes 8km. How far and in which direction is he from the starting point ?12 km east10 km west15 km north10 km east
Question
A person goes 5km east then turns right and goes 8km. The turns left and goes 5km, finally he turns to left and goes 8km. How far and in which direction is he from the starting point ?12 km east10 km west15 km north10 km east
Solution
The person is 10 km to the west from the starting point. Here's how:
- The person starts at a point and goes 5 km east.
- Then, he turns right (which would be south if we consider the standard directions) and goes 8 km.
- Next, he turns left (which would be east) and goes 5 km.
- Finally, he turns left again (which would be north) and goes 8 km.
At the end of these movements, the person is back to the same latitude as the starting point (since 5 km east and 5 km west cancel out) but 10 km to the west of the starting point (since 8 km south and 8 km north cancel out). So, the person is 10 km west from the starting point.
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