Question

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?

Answer 1

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 $\alpha$, therefore, you must find it using $tan^{-1}$, as following:

$tan^{-1}(\alpha)=\frac{opposite}{adjacent} \\opposite=4.8\\adjacent=22$

3. Substitute values and solve for the angle:

$tan^{-1}(\alpha)=\frac{4.8}{22}\\\alpha=12.30degrees$