Answer:
9.8°
Step-by-step explanation:
We can model the situation as follows:
So, we need to calculate the value of x.
The sides of the triangle and the angle x are related by the following trigonometric function:
![\begin{gathered} \tan x=\frac{Opposite\text{ side}}{Adjacent\text{ side}} \\ \tan x=(157)/(906) \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/bnvy6qt3kwn00dp3a1ab.png)
Therefore, we can solve for x, using the inverse function of tangent as follows:
![\begin{gathered} \tan x=0.17 \\ x=\tan ^(-1)(0.17) \\ x=9.8 \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/u8nnuzdp3sksnsk7j2uo.png)
Then, the angle of depression is 9.8°