A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
How far did the player run?
Round your answer to the nearest meter.
Using the Pythagorean theorem, we can find the distance the player ran:
a² + b² = c²
where a = 64m (width), b = 100m (length), and c is the diagonal distance run by the player.
64² + 100² = c²
4096 + 10000 = c²
14196 = c²
c ≈ √14196
c ≈ 119.1m
Rounding to the nearest meter, the player ran approximately 119 meters.