The length of a football field is 100 yard and the width is 53 yard. In the fist game of the season, Jos catches the opening kickoff at the corner of the goal line and runs straight as a string the diagonal length of the field to score s touchdown. The next day, the local paper credits Jos for a 100 yard touchdown run, but how far did he actually run

Question

Mathematics

Zaiden Gardner

9 July, 01:37

The length of a football field is 100 yard and the width is 53 yard. In the fist game of the season, Jos catches the opening kickoff at the corner of the goal line and runs straight as a string the diagonal length of the field to score s touchdown. The next day, the local paper credits Jos for a 100 yard touchdown run, but how far did he actually run

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Answers (1)

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Zaria Wright · Answer 1

Given:

Length = 100 yards

Width = 53 yards

Rectangle shape

Jos ran the diagonal length. So, he formed a right triangle. The length Jos ran would be they hypotenuse.

a² + b² = c² ² where c = hypotenuse

100² + 53² = c²

10,000 + 2809 = c²

12809 = c²

c = √12809

c = 113.18 yards.