Problema Solution
46) a baseball diamond is a square with an area of 8100 square feet. The length of the diagonal of any square equal to the square root of 2 times it's side length. Find the distance from home plate to second base (the length of the diagonal) to the nearest hundredth of a foot.
Answer provided by our tutors
let 'x' represent the length of the square
area = x^2
8100 = x^2
x = 90
length of the diagonal, we have a square so we take the square root of the sum of the square of the sides:
sqrt(90^2 + 90^2) = 127.279
the distance from home plate to second is 127.28 feet