Answer:
It travels 1414 feets.
Explanation:
Let's take the length the bullet travels l as the hypotenuse of a right triangle and the height it reaches one of its sides. Since we got the angle α at which it was fired and the height h it reached, we can calculate l using the sin(α) function:
[tex]sin(\alpha )=\frac{opposite side}{hypotenuse}\\sin(\alpha)=\frac{h}{l}\\l=\frac{h}{sin(\alpha)}[/tex]
Replacing:
[tex]l=\frac{1000ft}{sin(\frac{\pi}{4})}[/tex]
Solving and roundin to the nearest foot:
[tex]l=1414 ft[/tex]
