Answer:
[tex]x[/tex] ≈ [tex]12\\[/tex]°
Step-by-step explanation:
Since we don't know the angle, again, we will replace it with [tex]X[/tex].
This time, we are trying to fine the angle of depression from the top. However, we are still in luck, because the angle of elevation = the angle of depression, meaning we can start from the base, and use Sine.
[tex]Sine = (\frac{Opposite}{Hypotenuse})[/tex]
- Opposite of [tex]X\\[/tex] = [tex]208[/tex]
- Hypotenuse of [tex]X[/tex] = [tex]1000[/tex]
[tex]sinX =\frac{208}{1000}[/tex]
- Since we are trying to find the angle, we have to subtract "[tex]sine[/tex]"
[tex]X = sin^-^1(\frac{208}{1000})\\[/tex]
[tex]x[/tex] ≈ [tex]12\\[/tex]°
