I’m gym class you run 22m horizontal then climb a rope vertically for 4.8m. what is the direction angle of your total displacement, as measured from the horizontal?

The answer is: 12.30 degrees.

To solve this problem you must apply the proccedure shown below:

1. You run 22 meters horizontally and then you climb a rope vertically for 4.8 meters.

2. So. let's call the angle , therefore, you must find it using , as following:

3. Substitute values and solve for the angle: