Question

Ethan is watching a satellite launch from an observation spot 1 mile away. Find the angle of elevation from Ethan to the satellite, which is at a height of 6 miles.

Answer 1

Answer:

$\theta=80.53^{\circ}$

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 :

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{6}{1}\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}$

So, the angle of elevation is 80.53 degrees.