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8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work​

Sagot :

Francocanacariidn

Answer:

Cory drove 56 miles.

Step-by-step explanation:

In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:

7 ^ 2 + 24 ^ 2 = X ^ 2

49 + 576 = X ^ 2

2√625 = X

25 = X

Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).

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