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A hiker travels 8 km North then 7 km East. What distance

did the hiker travel? What was the hiker's total displacement

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Answer:

Step-by-step explanation:

The hiker has traveled 8 km North and 7 km East, which does not result in a straight line distance. To calculate the total distance traveled, you would need to use the Pythagorean theorem.

The theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hiker's total distance traveled can be calculated as the square root of the sum of the squares of the North and East distances:

distance = √(8^2 + 7^2) = √(64 + 49) = √113 = approximately 10.6 km.

So, the hiker has traveled a total of approximately 10.6 km

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