First let's start by drawing the described problem so we can better understand the procedure to follow:
In the above representation, we can see that the height of the given triangle can be determined by subtracting the height of the table from Michael's height, like this:
h = 5.6 - 2 = 3.6
Then, the triangle has the following dimensions:
As you can see, we have a right triangle, by taking the tangent of the angle θ, we get the following expression:
[tex]tan(θ)=\frac{ol}{al}[/tex]
Where ol is the opposite leg to the angle θ and al is the adjacent leg to this angle, in this case, ol is 11 and al is 3.6, then we get:
[tex]tan(θ)=\frac{11}{3.6}[/tex]
By taking the inverse tangent function, we get:
[tex]\begin{gathered} tan^{-1}(tan(θ))=tan^{-1}(\frac{11}{3.6}) \\ θ=72 \end{gathered}[/tex]
Then, the angle of depression is 72 degrees
