ANSWER:
4936 ft
STEP-BY-STEP EXPLANATION:
We have the following:
The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.
To better understand the question, we make a sketch of the situation:
Therefore, determine the distance using the trigonometric sine function, as follows:
[tex]\begin{gathered} \sin\theta=\frac{\text{ opposite }}{\text{ hypotenuse}} \\ \\ \theta=34\degree \\ \\ \text{opposite = 2760} \\ \\ \text{hypotenuse = x} \\ \\ \text{ we replacing:} \\ \\ \sin34\degree=\frac{2760}{x} \\ \\ x=\frac{2760}{\sin34\degree} \\ \\ x=4935.7\cong4936\text{ ft} \end{gathered}[/tex]
Therefore, the house is 4936 feet from the pilot of the ballon
