Respuesta :

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.

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