Question

The figure shows the angles used to make a double bank shot in an air hockey game. a. Find the value of x. b. How does the angle the puck hits the edge of the table relate to the angle it leaves the edge of the table?

Answer 1

From the figure, we can conclude that:

`\begin{gathered} 2m+64=180 \\ \rightarrow2m=116 \\ \rightarrow m=(116)/(2) \\ \Rightarrow m=58 \end{gathered}`

This tells us that the entry angle of the second bounce is equal to the exit angle of the first.

Meaning that all the three angles are equal.

Because of this, we can conclude that

`x=64`

a) x = 64

b) The angle the puck hits the edge of the table is equal to the angle it leaves the edge of the table.