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topjm [15]
3 years ago
7

Ethan is watching a satellite launch from an observation spot 1 mile away. Find the angle of elevation from Ethan to the satelli

te, which is at a height of 6 miles.
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

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.

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