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In Booneville, the library is 6 miles south of the courthouse and 7 miles west of the community swimming pool. If a bird flew directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse, what would be the total distance flown?

Sagot :

The total distance flown by the bird directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse is  13 + √85 miles

What is distance:

Generally, distance is a scalar quantity . This means it has only magnitude but no direction.

Distance describes how much ground an object covers on motion.

Therefore, the total distance the bird flew is how much ground it covered during motion.

The library is 6 miles south of the courthouse and 7 miles west of the community swimming pool.

Distance from court house to the library = 6 miles

Distance from library to the swimming pool = 7 miles

we use Pythagoras's theorem to find the distance from the swimming pool back to the courthouse. Therefore

  • c² = a² + b²

Distance from swimming pool to the court house = 7² + 6² = 49 + 36 = √85

Total distance travelled = 6 + 7 + √85 = 13 + √85 miles

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