Answer :

Answer:

[tex]x\approx 1498.4\text{ m}[/tex]

Step-by-step explanation:

We can solve for x using the trigonometric ratio sine:

[tex]\rm\sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

↓ plugging in the given values

[tex]\sin(22\°) = \dfrac{x}{4000}[/tex]

↓ multiplying both sides by 4000

[tex]x = 4000\sin(22\°)[/tex]

↓ evaluating using a calculator

[tex]\boxed{x\approx 1498.4\text{ m}}[/tex]