Question

snookers is a kind of pool or billiards played on a 6 foot by 12 foot table. the side pockets are halfway down the rails. find the distance, to the nearest tenth of an inch, diagonally across the table from the corner pocket to the side pocket

Answer 1

The answer is 101.76 in

Let length be 12 ft (l = 12 ft) and width be 6 ft (w = 6ft).

The side pocket will be on the half of its length (l). To calculate the distance, we will use the distance d as a hypotenuse of the right triangle with sides w and l/2.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of two other sides:

d² = w² + (l/2)²

We have:

d = ?

w = 6 ft

l = 12 ft

d² = 6² + (12/2)²

d² = 6² + 6²

d²= 2 * 6²

d² = 2 * 36

d² = 72

d = √72

d = 8.48 ft

Since 1 ft is 12 in, then 8.48 ft is 101.76 in:

8.48 * 12 in = 101.76 in