Answer and Step-by-step explanation:
This problem requires the use of trigonometric functions, specifically the tangent trig function.
[tex]tan(Angle)=\frac{opposite}{adjacent}[/tex]
Plug in the values.
[tex]tan(40) = \frac{8000}{x}[/tex]
Multiply by x to both sides, then divide by tan(40) to both sides.
[tex]x = \frac{8000}{tan(40)}[/tex]
Now, plug this into a calculator and rounded to the nearest whole number (foot).
x = 9534.0287
x = 9534 ft.
The answer is 9534 ft., the last option.
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