Answer:
[tex]x[/tex] ≈ [tex]349[/tex]
Step-by-step explanation:
SInce we don't know the side length, we will replace it with [tex]X[/tex] for now.
To make this problem easier, since the angle of elevation = the angle of depression, we can start from the base, and use Tangent.
[tex]Tangent=(\frac{Opposite}{Adjecent})\\[/tex]
- Opposite of [tex]19[/tex]° = [tex]120\\[/tex]
- Adjacent of [tex]19\\[/tex]° = [tex]X\\[/tex]
[tex]tan19[/tex]° [tex]= \frac{120}{x}[/tex]
- then, divide [tex]120[/tex] by [tex]tan19[/tex]°
[tex]120 - tan19[/tex]° [tex]= x[/tex]
[tex]x[/tex] ≈ [tex]349[/tex]
Okayyyy...... so it's really late right now, but I just found out there was an answer key online. They show all their work, which is pretty nice, so I uploaded/ attached that to this answer, and yes, I promise it's not a scam. Anyways, I gotta head out soon. Good luck on the rest of your homework though! :)
