A group of soldiers walked 15km north from their camp then covered 10km more due east. 1. What is the total distance walked by the soldiers?
15+10 = 25 km
what else could it be?
To find the total distance walked by the soldiers, we need to calculate the combined distance they covered in the northward and eastward directions.
The soldiers walked 15 km north, which means they covered a distance of 15 km in that direction.
Then, they walked an additional 10 km east. Since this distance is perpendicular to the northward direction, we can treat it as the hypotenuse of a right triangle formed by their movements. Using the Pythagorean theorem, we can calculate the distance covered using the formula c² = a² + b². In this case, a is the distance north (15 km) and b is the distance east (10 km).
So, plugging in the values, we have:
c² = 15² + 10²
c² = 225 + 100
c² = 325
To find c, we take the square root of both sides:
c = √325
c ≈ 18.03 km (rounded to two decimal places)
Therefore, the total distance walked by the soldiers is approximately 18.03 km.