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31 votes
An airplane is headed for the airport, 73920 feet away. If the airplane is at an altitude of 3000 feet, what is the angle of depression, to the nearest tenth of a degree, from the airplane to the airport?

User Ricardo Francois
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1 Answer

13 votes
13 votes
Answer:

The angle of depression is 2.3 degrees

Step-by-step explanation:

Let the scenario be shown in the diagram below:

Suppose the angle of depression is x degrees, then


\begin{gathered} \sin x=(3000)/(73920) \\ \\ x=\sin ^(-1)((3000)/(73920))_{} \\ \\ =2.3 \end{gathered}

x is 2

An airplane is headed for the airport, 73920 feet away. If the airplane is at an altitude-example-1
User Mashta Gidi
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3.2k points