Answer and Step-by-step explanation:
This problem requires the use of trigonometric functions, specifically the tangent trig function.
![tan(Angle)=(opposite)/(adjacent)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rycj45g3yh07m2d8uafkeopmfe975mv4cw.png)
Plug in the values.
![tan(40) = (8000)/(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/w5inqjf9nc28f9pjrasr9d2orq84jwczq8.png)
Multiply by x to both sides, then divide by tan(40) to both sides.
![x = (8000)/(tan(40))](https://img.qammunity.org/2022/formulas/mathematics/high-school/a0xm63ldcdap46fxaatepgzwl2e7r94yn1.png)
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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