Answer:
1558.9 feet.
Explanation:
We can model the situation as follows:
Where we want to know the distance x and we know the angle of 15.8° and the horizontal distance of 1500 ft.
Therefore, we can relate these values as follows:
[tex]\cos 15.8=\frac{1500}{x}[/tex]So, solving for x, we get:
[tex]\begin{gathered} x=\frac{1500}{\cos 15.8} \\ x=\frac{1500}{0.962} \\ x=1558.9 \end{gathered}[/tex]Then, the answer is 1558.9 feet.