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Given a field measuring 181 feet by 47 feet, how far is it to walk from one corner of the field to the opposite corner, to the closest tenth of a foot?

Answer :

Final answer:

To find the distance from one corner of a 181 feet by 47 feet field to the opposite corner, we use the Pythagorean theorem. The distance is approximately 186.9 feet.

Explanation:

To find the distance from one corner of the field to the opposite corner, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the field forms a right triangle, with the length of one side being 181 feet and the length of the other side being 47 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:

c^2 = a^2 + b^2

c^2 = 181^2 + 47^2

c^2 = 32761 + 2209

c^2 = 34970

c = √34970

c ≈ 186.9 feet

Therefore, it is approximately 186.9 feet to walk from one corner of the field to the opposite corner.

Learn more about Pythagorean theorem here:

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