The tourist walked 15 km north, then turned east and walked 7 km, then turned south and walked 10 km

| January 12, 2021 | education

The tourist walked 15 km north, then turned east and walked 7 km, then turned south and walked 10 km. Find the path and movement of the tourist.

Determine the general path traveled by the tourist.
For this, we summarize the indicated distances in the condition for the problem.
We get:
15 + 7 + 10 = 25 + 7 = 32 km (traveled in total by a tourist).
Find the displacement value.
We represent the tourist as a point.
When moving north, it moves up.
It then turns north, which in this case is a right turn.
After that, it moves south, which corresponds to a downward movement.
So, in total, he moved 7 km to the right and 5 km up, because:
15 – 10 = 5 km.
These lengths are the legs of a right-angled triangle.
Find the hypotenuse by the Pythagorean theorem.
72 + 52 = 49 + 25 = 74.
So the movement will be equal to:
√74 = 8.6 km.
Answer: Path 32 km, travel 8.6 km.



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