Statement made about pool table geomotry

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Homework Statement

In the statement made it says there are only 3 angles for any given shot that is makeable .
the three angles are 45,30,15. All conclusions were based from a geometric point of view

Homework Equations

I understand how that is to be sorrect but can't fully explain it.tThe other part it says that you start ON THE SIDE THAT DOES NOT FACE THE POCKET.That is the part I don't understand and can not explain.

The Attempt at a Solution

6 months of reaserch. Note: I am a self tought kind of person. When I started to solve this equation I new nothing about geometry,after 6 months and help from the internet I do have a fairly good idea of the subject.

 

[jbsteele]

To start, let's look at the angles. The angles mentioned in the statement are 45, 30, and 15. These angles are all related to the same thing, the circumference of a circle. Specifically, each angle represents the same portion of the circumference, which is one-fourth. This means that for any given shot, there are only three angles that can be used to make it successfully: 45, 30, and 15. Now, let's look at why you start on the side that does not face the pocket. This is done because the angle you choose will determine the direction of the shot. So, if you start on the side that does NOT face the pocket, you will ensure that the ball will travel in the right direction. In other words, if you start on the side that faces the pocket, the ball may travel in the wrong direction. In conclusion, the statement made is true. There are only three angles that can be used to make a successful shot: 45, 30, and 15. Additionally, you should always start on the side that does not face the pocket to ensure the ball travels in the correct direction.

 

[nlightner]

I appreciate the effort and dedication you have put into researching this topic. However, I must point out that the statement made about pool table geometry is not entirely accurate. While it is true that there are only three angles (45, 30, 15) that are makeable for any given shot, this is not solely due to geometric principles. Factors such as the position of the cue ball, the speed of the shot, and the friction of the table surface all play a role in determining the makeable angles.

Additionally, the statement about starting on the side that does not face the pocket is not accurate. The starting position for a shot on a pool table can vary depending on the desired outcome and the skill level of the player. It is not limited to one specific side.

I suggest continuing to research and learn about pool table geometry, but also consider other factors that can affect the makeability of a shot. As a self-taught individual, it is important to seek out reliable sources and consult with experts in the field to ensure a comprehensive understanding of the subject.