The length of a football field is 100 yards and the width is 53 yards. in the first game of the season, joe don 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 a touchdown. the next day, the local paper credits joe for a 100 yard touchdown run, but how far did he actually run?

Question

Mathematics

Kody Callahan

15 March, 04:09

The length of a football field is 100 yards and the width is 53 yards. in the first game of the season, joe don 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 a touchdown. the next day, the local paper credits joe for a 100 yard touchdown run, but how far did he actually run?

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Answers (1)

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Ainsley Compton · Answer 1

By the Pythagorean theorem, the diagonal of a rectangle 53 yards by 100 yards is

... diagonal = √ ((53 yd) ^2 + (100 yd) ^2) = (√12809) yd ≈ 113.2 yd

Joe Don's run was 113.2 yards.