We can draw the following picture:
then we need to find angle theta. However, in order to find theta, we must find angle x first.
Since we have a right triangle, we can apply the tangent function as:
[tex]\tan x=\frac{42}{25}[/tex]
then, x is given by
[tex]\begin{gathered} x=\tan ^{-1}(\frac{42}{25}) \\ x=\tan ^{-1}(1.68) \end{gathered}[/tex]
then, x is equal to
[tex]x=59.24\text{ degr}ees[/tex]
Now, angle x and angle theta are complementary, this means that
[tex]x+\theta=90[/tex]
then, we have
[tex]\begin{gathered} \theta=90-x \\ \theta=90-59.24 \\ \theta=30.76 \end{gathered}[/tex]
Therefore, the angle of depression (theta) is equal to 30.76 degrees.
