A rectangular football field is 64 m wide and 100 m long a player runs from one corner of the field in a diagonal line to the op

Question

Yuri [45]

4 years ago

9

A rectangular football field is 64 m wide and 100 m long a player runs from one corner of the field in a diagonal line to the op

posite corner how far did the player run

Mathematics

2 answers:

DENIUS [597] · Answer 1 · 2022-01-07T17:16:23+03:00

DENIUS [597]4 years ago

7 0

Answer:

118.7 m

Step-by-step explanation:

see attached

Nikolay [14] · Answer 2 · 2022-01-07T19:29:07+03:00

Answer: the player ran 118.7 meters.

Step-by-step explanation:

The diagonal of the rectangular football field divides it 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 = 64² + 100²

d² = 4096 + 10000 = 14096

d = √14096

d = 118.7 m