Question

A hockey puck leaves the blade of a hockey stick, bounces off a wall, and travels in a new direction, as shown. Your friend claims the path of the puck forms a right angle. Is your friend correct? Explain.

Answer 1

Friend is not correct.

Explanation:

The complete question with image is attached.

We need to find the angle and the point (0.8), or the angle created between the two lines.

First we need to find slope (m) of both the lines.

The slope (m) is change in y coordinates divided by change in x coordinates. Or

`m=(y_2-y_1)/(x_2-x_1)`

Slope of line above:

`m=(y_2-y_1)/(x_2-x_1)\\m=(8-16)/(0-(-4))\\m=-2`

Slope of below line:

`m=(y_2-y_1)/(x_2-x_1)\\m=(8-0)/(0-(-4))\\m=2`

The formula to find angle between two lines is:

`\theta = Tan^(-1)((m_2-m_1)/(1+m_1m_2))`

Where m_1 = -2 and m_2 = 2

Plugging in the values, we get:

Angle = 53

Hence, your friend IS NOT correct.