Question

A hockey player passes the puck to a teammate by bouncing the puck off the wall of the rank as shown. From physics, the angle that the path of the puck makes with the wall are congruent. How far from the wall will the past be picked up by his teammate?

Answer 1

1) Considering the wall, the line segment (the base of both triangles), 6 m. Given that we have two congruent triangles, then let's find d, considering that

2) Since the angle of the larger triangle is congruent, then we can find the leg "d" by

`\begin{gathered} (3.6)/(2.4)=(d)/(1) \\ 2.4d=3.6 \\ d=(3.6)/(2.4)=\frac{3}{2\text{ }}\text{ or 1.5} \end{gathered}`

3) So the teammate is going to pick the puck at 1.5 meters from the wall. A better diagram would be: