50.8k views
3 votes
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.

User Maxene
by
7.4k points

1 Answer

0 votes

Answer:


\theta=80.53^(\circ)

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=(P)/(B)\\\\\tan\theta=(6)/(1)\\\\\theta=\tan^(-1)(6)\\\\\theta=80.53^(\circ)

So, the angle of elevation is 80.53 degrees.

User TazGPL
by
7.2k points