A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the

Question

3 years ago

6

A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the

other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner

Mathematics

1 answer:

vladimir2022 [97] · Answer 1 · 2022-04-18T07:47:29+03:00

Answer: the distance from one corner of the field to the other corner is 136 m

Step-by-step explanation:

The distance from one corner to the other corner is the diagonal and it

divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 110² + 80²

d² = 12100 + 6400 = 18500

d = √18500

d = 136 meters