Answer:
[tex]\theta=80.53^{\circ}[/tex]
Step-by-step explanation:
From the attached figure, AB is the height of the satellite and the distance between Ethan and the ground is 1 mile.
We can find the angle of elevation from Ethan to the satellite using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{6}{1}\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}[/tex]
So, the angle of elevation is 80.53 degrees.
