Question

A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 80 yards long and 60 yards wide, how far will the soccer player have to kick the ball?

Answer 1

Answer: Assuming the field is rectangular, the distance between the two corners diagonally can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, the length and width of the field form the two sides of the right triangle, and the diagonal is the hypotenuse.

So, using the Pythagorean theorem:

Diagonal^2 = Length^2 + Width^2

Diagonal^2 = 80^2 + 60^2

Diagonal^2 = 6400 + 3600

Diagonal^2 = 10000

Diagonal = √10000

Diagonal = 100 yards

Therefore, the soccer player will have to kick the ball 100 yards to reach the opposite corner of the field.

Explanation: