Question

Adrian plays pool for a club. To win a game, he plays a trick shot from corner pocket A to corner pocket D as shown in the diagram. If the dimensions of the pool table are 9 ft wide and 4.5 ft long, how far does the cue ball travel across the table in the trick shot Adrian played?

A) 9 ft
B) 4.5 ft
C) 10.5 ft
D) 13.5 ft

Answer 1

By applying the Pythagorean theorem to the given dimensions of the pool table, the distance the cue ball travels in Adrian's trick shot from corner A to corner D is found to be approximately 10.06 ft, which is closest to option C, 10.5 ft.

Step-by-step explanation:

The question involves finding the distance traveled by a cue ball from corner pocket A to corner pocket D on a pool table in a trick shot played by Adrian. Since the pool table is rectangular, this distance is the diagonal of the rectangle formed by the dimensions of the pool table. To find this diagonal, we can use the Pythagorean theorem, which in this context is the square root of the sum of the squares of the length and the width of the pool table.

The dimensions given are 9 ft (width) and 4.5 ft (length). Applying the Pythagorean theorem:

Diagonal = √(9 ft)^2 + (4.5 ft)^2

Diagonal = √(81 + 20.25)

Diagonal = √101.25

Diagonal ≈ 10.06 ft

Therefore, the distance the cue ball travels across the table is approximately 10.06 ft, which is closest to option C, 10.5 ft.