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# A hot-air balloon is flying at a height of 600 feet and is directly above the Marshall Space Flight Center in Huntsville, Alabama. The pilot of the balloon looks down at the airport that is known to be 5 miles from the Marshall Space Flight Center. What is the angle of depression from the balloon to the airport?

Solution

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First, we illustrate the problem as follows. Here,

• $A$ represents the position of the hot air balloon.
• $B$ represents the position of the space flight center.
• $C$ represents the position of the airport.
• $\theta$ represents the angle of depression.

Additionally, $5$ miles is equal to $26400$ feet as a mile is equal to $5280$ feet. Therefore,

\begin{aligned} DC&=600\\ AD&=26400 \end{aligned}

We are then to find $\theta$ by using $\triangle ADC$.

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